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Finding the Fourth Proportional to 9,385.83, 14,100.62 and 5,492.97

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Solution

The fourth proportional to 9,385.83, 14,100.62 and 5,492.97 is: 8,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.83 : 14,100.62 = 5,492.97 : x
  2. Step 2: Convert to fraction form
    9,385.83/14,100.62 = 5,492.97/x
  3. Step 3: Cross multiply
    9,385.83x = 14,100.62 × 5,492.97
  4. Step 4: Simplify right side
    9,385.83x = 77,454,255.18
  5. Step 5: Solve for x
    x = 77,454,255.18/9,385.83
  6. Step 6: Final answer
    x = 8,252.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.