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Finding the Fourth Proportional to 7,153.24, 9,869.14 and 4,637.32

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Solution

The fourth proportional to 7,153.24, 9,869.14 and 4,637.32 is: 6,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.24 : 9,869.14 = 4,637.32 : x
  2. Step 2: Convert to fraction form
    7,153.24/9,869.14 = 4,637.32/x
  3. Step 3: Cross multiply
    7,153.24x = 9,869.14 × 4,637.32
  4. Step 4: Simplify right side
    7,153.24x = 45,766,360.30
  5. Step 5: Solve for x
    x = 45,766,360.30/7,153.24
  6. Step 6: Final answer
    x = 6,397.99

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