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Finding the Fourth Proportional to 9,144.68, 13,715.28 and 4,459.98

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Solution

The fourth proportional to 9,144.68, 13,715.28 and 4,459.98 is: 6,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.68 : 13,715.28 = 4,459.98 : x
  2. Step 2: Convert to fraction form
    9,144.68/13,715.28 = 4,459.98/x
  3. Step 3: Cross multiply
    9,144.68x = 13,715.28 × 4,459.98
  4. Step 4: Simplify right side
    9,144.68x = 61,169,874.49
  5. Step 5: Solve for x
    x = 61,169,874.49/9,144.68
  6. Step 6: Final answer
    x = 6,689.13

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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.