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Finding the Fourth Proportional to 9,741.80, 14,612.70 and 6,631.40

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Solution

The fourth proportional to 9,741.80, 14,612.70 and 6,631.40 is: 9,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.80 : 14,612.70 = 6,631.40 : x
  2. Step 2: Convert to fraction form
    9,741.80/14,612.70 = 6,631.40/x
  3. Step 3: Cross multiply
    9,741.80x = 14,612.70 × 6,631.40
  4. Step 4: Simplify right side
    9,741.80x = 96,902,658.78
  5. Step 5: Solve for x
    x = 96,902,658.78/9,741.80
  6. Step 6: Final answer
    x = 9,947.10

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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.