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Finding the Fourth Proportional to 9,841.47, 13,585.01 and 7,209.78

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Solution

The fourth proportional to 9,841.47, 13,585.01 and 7,209.78 is: 9,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.47 : 13,585.01 = 7,209.78 : x
  2. Step 2: Convert to fraction form
    9,841.47/13,585.01 = 7,209.78/x
  3. Step 3: Cross multiply
    9,841.47x = 13,585.01 × 7,209.78
  4. Step 4: Simplify right side
    9,841.47x = 97,944,933.40
  5. Step 5: Solve for x
    x = 97,944,933.40/9,841.47
  6. Step 6: Final answer
    x = 9,952.27

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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.