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Finding the Fourth Proportional to 7,114.61, 9,816.18 and 4,596.81

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Solution

The fourth proportional to 7,114.61, 9,816.18 and 4,596.81 is: 6,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.61 : 9,816.18 = 4,596.81 : x
  2. Step 2: Convert to fraction form
    7,114.61/9,816.18 = 4,596.81/x
  3. Step 3: Cross multiply
    7,114.61x = 9,816.18 × 4,596.81
  4. Step 4: Simplify right side
    7,114.61x = 45,123,114.39
  5. Step 5: Solve for x
    x = 45,123,114.39/7,114.61
  6. Step 6: Final answer
    x = 6,342.32

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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.