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Finding the Fourth Proportional to 9,178.95, 12,666.91 and 5,402.09

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Solution

The fourth proportional to 9,178.95, 12,666.91 and 5,402.09 is: 7,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.95 : 12,666.91 = 5,402.09 : x
  2. Step 2: Convert to fraction form
    9,178.95/12,666.91 = 5,402.09/x
  3. Step 3: Cross multiply
    9,178.95x = 12,666.91 × 5,402.09
  4. Step 4: Simplify right side
    9,178.95x = 68,427,721.13
  5. Step 5: Solve for x
    x = 68,427,721.13/9,178.95
  6. Step 6: Final answer
    x = 7,454.86

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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.