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Finding the Fourth Proportional to 9,627.60, 13,282.14 and 7,385.52

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Solution

The fourth proportional to 9,627.60, 13,282.14 and 7,385.52 is: 10,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.60 : 13,282.14 = 7,385.52 : x
  2. Step 2: Convert to fraction form
    9,627.60/13,282.14 = 7,385.52/x
  3. Step 3: Cross multiply
    9,627.60x = 13,282.14 × 7,385.52
  4. Step 4: Simplify right side
    9,627.60x = 98,095,510.61
  5. Step 5: Solve for x
    x = 98,095,510.61/9,627.60
  6. Step 6: Final answer
    x = 10,188.99

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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.