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Finding the Fourth Proportional to 9,282.18, 12,805.02 and 6,100.74

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Solution

The fourth proportional to 9,282.18, 12,805.02 and 6,100.74 is: 8,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.18 : 12,805.02 = 6,100.74 : x
  2. Step 2: Convert to fraction form
    9,282.18/12,805.02 = 6,100.74/x
  3. Step 3: Cross multiply
    9,282.18x = 12,805.02 × 6,100.74
  4. Step 4: Simplify right side
    9,282.18x = 78,120,097.71
  5. Step 5: Solve for x
    x = 78,120,097.71/9,282.18
  6. Step 6: Final answer
    x = 8,416.14

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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.