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Finding the Fourth Proportional to 6,376.71, 9,547.04 and 4,292.58

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Solution

The fourth proportional to 6,376.71, 9,547.04 and 4,292.58 is: 6,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.71 : 9,547.04 = 4,292.58 : x
  2. Step 2: Convert to fraction form
    6,376.71/9,547.04 = 4,292.58/x
  3. Step 3: Cross multiply
    6,376.71x = 9,547.04 × 4,292.58
  4. Step 4: Simplify right side
    6,376.71x = 40,981,411.50
  5. Step 5: Solve for x
    x = 40,981,411.50/6,376.71
  6. Step 6: Final answer
    x = 6,426.73

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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.