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Finding the Fourth Proportional to 9,194.71, 12,681.33 and 6,007.76

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Solution

The fourth proportional to 9,194.71, 12,681.33 and 6,007.76 is: 8,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.71 : 12,681.33 = 6,007.76 : x
  2. Step 2: Convert to fraction form
    9,194.71/12,681.33 = 6,007.76/x
  3. Step 3: Cross multiply
    9,194.71x = 12,681.33 × 6,007.76
  4. Step 4: Simplify right side
    9,194.71x = 76,186,387.12
  5. Step 5: Solve for x
    x = 76,186,387.12/9,194.71
  6. Step 6: Final answer
    x = 8,285.89

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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.