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Finding the Fourth Proportional to 9,882.06, 14,752.65 and 9,535.98

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Solution

The fourth proportional to 9,882.06, 14,752.65 and 9,535.98 is: 14,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.06 : 14,752.65 = 9,535.98 : x
  2. Step 2: Convert to fraction form
    9,882.06/14,752.65 = 9,535.98/x
  3. Step 3: Cross multiply
    9,882.06x = 14,752.65 × 9,535.98
  4. Step 4: Simplify right side
    9,882.06x = 140,680,975.35
  5. Step 5: Solve for x
    x = 140,680,975.35/9,882.06
  6. Step 6: Final answer
    x = 14,236.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.