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Finding the Fourth Proportional to 9,173.17, 12,658.84 and 5,587.30

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Solution

The fourth proportional to 9,173.17, 12,658.84 and 5,587.30 is: 7,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.17 : 12,658.84 = 5,587.30 : x
  2. Step 2: Convert to fraction form
    9,173.17/12,658.84 = 5,587.30/x
  3. Step 3: Cross multiply
    9,173.17x = 12,658.84 × 5,587.30
  4. Step 4: Simplify right side
    9,173.17x = 70,728,736.73
  5. Step 5: Solve for x
    x = 70,728,736.73/9,173.17
  6. Step 6: Final answer
    x = 7,710.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.