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Finding the Fourth Proportional to 7,046,635.86, 9,724,192.08 and 4,146,214.58

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Solution

The fourth proportional to 7,046,635.86, 9,724,192.08 and 4,146,214.58 is: 5,721,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046,635.86 : 9,724,192.08 = 4,146,214.58 : x
  2. Step 2: Convert to fraction form
    7,046,635.86/9,724,192.08 = 4,146,214.58/x
  3. Step 3: Cross multiply
    7,046,635.86x = 9,724,192.08 × 4,146,214.58
  4. Step 4: Simplify right side
    7,046,635.86x = 40,318,586,980,816.53
  5. Step 5: Solve for x
    x = 40,318,586,980,816.53/7,046,635.86
  6. Step 6: Final answer
    x = 5,721,678.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.