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Finding the Fourth Proportional to 9,853.32, 14,752.66 and 7,666.32

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Solution

The fourth proportional to 9,853.32, 14,752.66 and 7,666.32 is: 11,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.32 : 14,752.66 = 7,666.32 : x
  2. Step 2: Convert to fraction form
    9,853.32/14,752.66 = 7,666.32/x
  3. Step 3: Cross multiply
    9,853.32x = 14,752.66 × 7,666.32
  4. Step 4: Simplify right side
    9,853.32x = 113,098,612.41
  5. Step 5: Solve for x
    x = 113,098,612.41/9,853.32
  6. Step 6: Final answer
    x = 11,478.22

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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.