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Finding the Fourth Proportional to 6,472.32, 9,701.54 and 3,349.17

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Solution

The fourth proportional to 6,472.32, 9,701.54 and 3,349.17 is: 5,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.32 : 9,701.54 = 3,349.17 : x
  2. Step 2: Convert to fraction form
    6,472.32/9,701.54 = 3,349.17/x
  3. Step 3: Cross multiply
    6,472.32x = 9,701.54 × 3,349.17
  4. Step 4: Simplify right side
    6,472.32x = 32,492,106.72
  5. Step 5: Solve for x
    x = 32,492,106.72/6,472.32
  6. Step 6: Final answer
    x = 5,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.