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Finding the Fourth Proportional to 9,663.59, 14,470.78 and 6,366.69

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Solution

The fourth proportional to 9,663.59, 14,470.78 and 6,366.69 is: 9,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.59 : 14,470.78 = 6,366.69 : x
  2. Step 2: Convert to fraction form
    9,663.59/14,470.78 = 6,366.69/x
  3. Step 3: Cross multiply
    9,663.59x = 14,470.78 × 6,366.69
  4. Step 4: Simplify right side
    9,663.59x = 92,130,928.08
  5. Step 5: Solve for x
    x = 92,130,928.08/9,663.59
  6. Step 6: Final answer
    x = 9,533.82

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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.