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Finding the Fourth Proportional to 9,144.87, 13,715.55 and 4,460.15

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Solution

The fourth proportional to 9,144.87, 13,715.55 and 4,460.15 is: 6,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.87 : 13,715.55 = 4,460.15 : x
  2. Step 2: Convert to fraction form
    9,144.87/13,715.55 = 4,460.15/x
  3. Step 3: Cross multiply
    9,144.87x = 13,715.55 × 4,460.15
  4. Step 4: Simplify right side
    9,144.87x = 61,173,341.75
  5. Step 5: Solve for x
    x = 61,173,341.75/9,144.87
  6. Step 6: Final answer
    x = 6,689.36

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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.