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Finding the Fourth Proportional to 10,141.57, 14,001.93 and 9,077.48

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Solution

The fourth proportional to 10,141.57, 14,001.93 and 9,077.48 is: 12,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.57 : 14,001.93 = 9,077.48 : x
  2. Step 2: Convert to fraction form
    10,141.57/14,001.93 = 9,077.48/x
  3. Step 3: Cross multiply
    10,141.57x = 14,001.93 × 9,077.48
  4. Step 4: Simplify right side
    10,141.57x = 127,102,169.53
  5. Step 5: Solve for x
    x = 127,102,169.53/10,141.57
  6. Step 6: Final answer
    x = 12,532.79

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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.