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Finding the Fourth Proportional to 9,156.25, 13,737.11 and 6,492.97

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Solution

The fourth proportional to 9,156.25, 13,737.11 and 6,492.97 is: 9,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.25 : 13,737.11 = 6,492.97 : x
  2. Step 2: Convert to fraction form
    9,156.25/13,737.11 = 6,492.97/x
  3. Step 3: Cross multiply
    9,156.25x = 13,737.11 × 6,492.97
  4. Step 4: Simplify right side
    9,156.25x = 89,194,610.65
  5. Step 5: Solve for x
    x = 89,194,610.65/9,156.25
  6. Step 6: Final answer
    x = 9,741.39

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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.