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Finding the Fourth Proportional to 10,111.48, 15,242.94 and 9,434.12

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Solution

The fourth proportional to 10,111.48, 15,242.94 and 9,434.12 is: 14,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.48 : 15,242.94 = 9,434.12 : x
  2. Step 2: Convert to fraction form
    10,111.48/15,242.94 = 9,434.12/x
  3. Step 3: Cross multiply
    10,111.48x = 15,242.94 × 9,434.12
  4. Step 4: Simplify right side
    10,111.48x = 143,803,648.90
  5. Step 5: Solve for x
    x = 143,803,648.90/10,111.48
  6. Step 6: Final answer
    x = 14,221.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.