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Finding the Fourth Proportional to 9,159.26, 13,737.29 and 4,228.47

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Solution

The fourth proportional to 9,159.26, 13,737.29 and 4,228.47 is: 6,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.26 : 13,737.29 = 4,228.47 : x
  2. Step 2: Convert to fraction form
    9,159.26/13,737.29 = 4,228.47/x
  3. Step 3: Cross multiply
    9,159.26x = 13,737.29 × 4,228.47
  4. Step 4: Simplify right side
    9,159.26x = 58,087,697.50
  5. Step 5: Solve for x
    x = 58,087,697.50/9,159.26
  6. Step 6: Final answer
    x = 6,341.97

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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.