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Finding the Fourth Proportional to 9,192.78, 12,685.98 and 5,001

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Solution

The fourth proportional to 9,192.78, 12,685.98 and 5,001 is: 6,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.78 : 12,685.98 = 5,001 : x
  2. Step 2: Convert to fraction form
    9,192.78/12,685.98 = 5,001/x
  3. Step 3: Cross multiply
    9,192.78x = 12,685.98 × 5,001
  4. Step 4: Simplify right side
    9,192.78x = 63,442,585.98
  5. Step 5: Solve for x
    x = 63,442,585.98/9,192.78
  6. Step 6: Final answer
    x = 6,901.35

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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.