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Finding the Fourth Proportional to 9,534.90, 14,275.95 and 7,187.79

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Solution

The fourth proportional to 9,534.90, 14,275.95 and 7,187.79 is: 10,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.90 : 14,275.95 = 7,187.79 : x
  2. Step 2: Convert to fraction form
    9,534.90/14,275.95 = 7,187.79/x
  3. Step 3: Cross multiply
    9,534.90x = 14,275.95 × 7,187.79
  4. Step 4: Simplify right side
    9,534.90x = 102,612,530.65
  5. Step 5: Solve for x
    x = 102,612,530.65/9,534.90
  6. Step 6: Final answer
    x = 10,761.78

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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.