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Finding the Fourth Proportional to 7,046,644.64, 9,724,204.14 and 4,146,223.37

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Solution

The fourth proportional to 7,046,644.64, 9,724,204.14 and 4,146,223.37 is: 5,721,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046,644.64 : 9,724,204.14 = 4,146,223.37 : x
  2. Step 2: Convert to fraction form
    7,046,644.64/9,724,204.14 = 4,146,223.37/x
  3. Step 3: Cross multiply
    7,046,644.64x = 9,724,204.14 × 4,146,223.37
  4. Step 4: Simplify right side
    7,046,644.64x = 40,318,722,411,297.73
  5. Step 5: Solve for x
    x = 40,318,722,411,297.73/7,046,644.64
  6. Step 6: Final answer
    x = 5,721,690.89

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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.