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Finding the Fourth Proportional to 9,530.97, 13,140.54 and 7,402.90

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Solution

The fourth proportional to 9,530.97, 13,140.54 and 7,402.90 is: 10,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.97 : 13,140.54 = 7,402.90 : x
  2. Step 2: Convert to fraction form
    9,530.97/13,140.54 = 7,402.90/x
  3. Step 3: Cross multiply
    9,530.97x = 13,140.54 × 7,402.90
  4. Step 4: Simplify right side
    9,530.97x = 97,278,103.57
  5. Step 5: Solve for x
    x = 97,278,103.57/9,530.97
  6. Step 6: Final answer
    x = 10,206.53

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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.