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Finding the Fourth Proportional to 9,712.80, 14,560.02 and 3,135.60

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Solution

The fourth proportional to 9,712.80, 14,560.02 and 3,135.60 is: 4,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.80 : 14,560.02 = 3,135.60 : x
  2. Step 2: Convert to fraction form
    9,712.80/14,560.02 = 3,135.60/x
  3. Step 3: Cross multiply
    9,712.80x = 14,560.02 × 3,135.60
  4. Step 4: Simplify right side
    9,712.80x = 45,654,398.71
  5. Step 5: Solve for x
    x = 45,654,398.71/9,712.80
  6. Step 6: Final answer
    x = 4,700.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.