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Finding the Fourth Proportional to 7,200.47, 9,934.37 and 5,683.24

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Solution

The fourth proportional to 7,200.47, 9,934.37 and 5,683.24 is: 7,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.47 : 9,934.37 = 5,683.24 : x
  2. Step 2: Convert to fraction form
    7,200.47/9,934.37 = 5,683.24/x
  3. Step 3: Cross multiply
    7,200.47x = 9,934.37 × 5,683.24
  4. Step 4: Simplify right side
    7,200.47x = 56,459,402.32
  5. Step 5: Solve for x
    x = 56,459,402.32/7,200.47
  6. Step 6: Final answer
    x = 7,841.07

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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.