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Finding the Fourth Proportional to 9,672.62, 14,509.15 and 3,098.79

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Solution

The fourth proportional to 9,672.62, 14,509.15 and 3,098.79 is: 4,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.62 : 14,509.15 = 3,098.79 : x
  2. Step 2: Convert to fraction form
    9,672.62/14,509.15 = 3,098.79/x
  3. Step 3: Cross multiply
    9,672.62x = 14,509.15 × 3,098.79
  4. Step 4: Simplify right side
    9,672.62x = 44,960,801.18
  5. Step 5: Solve for x
    x = 44,960,801.18/9,672.62
  6. Step 6: Final answer
    x = 4,648.26

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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.