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Finding the Fourth Proportional to 9,256.59, 13,881.15 and 3,411.90

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Solution

The fourth proportional to 9,256.59, 13,881.15 and 3,411.90 is: 5,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.59 : 13,881.15 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    9,256.59/13,881.15 = 3,411.90/x
  3. Step 3: Cross multiply
    9,256.59x = 13,881.15 × 3,411.90
  4. Step 4: Simplify right side
    9,256.59x = 47,361,095.69
  5. Step 5: Solve for x
    x = 47,361,095.69/9,256.59
  6. Step 6: Final answer
    x = 5,116.47

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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.