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Finding the Fourth Proportional to 9,153.38, 12,630.95 and 5,567.85

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Solution

The fourth proportional to 9,153.38, 12,630.95 and 5,567.85 is: 7,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.38 : 12,630.95 = 5,567.85 : x
  2. Step 2: Convert to fraction form
    9,153.38/12,630.95 = 5,567.85/x
  3. Step 3: Cross multiply
    9,153.38x = 12,630.95 × 5,567.85
  4. Step 4: Simplify right side
    9,153.38x = 70,327,207.12
  5. Step 5: Solve for x
    x = 70,327,207.12/9,153.38
  6. Step 6: Final answer
    x = 7,683.20

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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.