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Finding the Fourth Proportional to 9,193.30, 12,686.82 and 5,001.54

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Solution

The fourth proportional to 9,193.30, 12,686.82 and 5,001.54 is: 6,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.30 : 12,686.82 = 5,001.54 : x
  2. Step 2: Convert to fraction form
    9,193.30/12,686.82 = 5,001.54/x
  3. Step 3: Cross multiply
    9,193.30x = 12,686.82 × 5,001.54
  4. Step 4: Simplify right side
    9,193.30x = 63,453,637.70
  5. Step 5: Solve for x
    x = 63,453,637.70/9,193.30
  6. Step 6: Final answer
    x = 6,902.16

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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.