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Finding the Fourth Proportional to 9,284.17, 12,805.53 and 6,144.61

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Solution

The fourth proportional to 9,284.17, 12,805.53 and 6,144.61 is: 8,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.17 : 12,805.53 = 6,144.61 : x
  2. Step 2: Convert to fraction form
    9,284.17/12,805.53 = 6,144.61/x
  3. Step 3: Cross multiply
    9,284.17x = 12,805.53 × 6,144.61
  4. Step 4: Simplify right side
    9,284.17x = 78,684,987.69
  5. Step 5: Solve for x
    x = 78,684,987.69/9,284.17
  6. Step 6: Final answer
    x = 8,475.18

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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.