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Finding the Fourth Proportional to 9,587.85, 14,304.76 and 8,535.36

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Solution

The fourth proportional to 9,587.85, 14,304.76 and 8,535.36 is: 12,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.85 : 14,304.76 = 8,535.36 : x
  2. Step 2: Convert to fraction form
    9,587.85/14,304.76 = 8,535.36/x
  3. Step 3: Cross multiply
    9,587.85x = 14,304.76 × 8,535.36
  4. Step 4: Simplify right side
    9,587.85x = 122,096,276.31
  5. Step 5: Solve for x
    x = 122,096,276.31/9,587.85
  6. Step 6: Final answer
    x = 12,734.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.