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Finding the Fourth Proportional to 9,663.32, 14,499.10 and 4,119.27

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Solution

The fourth proportional to 9,663.32, 14,499.10 and 4,119.27 is: 6,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.32 : 14,499.10 = 4,119.27 : x
  2. Step 2: Convert to fraction form
    9,663.32/14,499.10 = 4,119.27/x
  3. Step 3: Cross multiply
    9,663.32x = 14,499.10 × 4,119.27
  4. Step 4: Simplify right side
    9,663.32x = 59,725,707.66
  5. Step 5: Solve for x
    x = 59,725,707.66/9,663.32
  6. Step 6: Final answer
    x = 6,180.66

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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.