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Finding the Fourth Proportional to 9,569.80, 14,354.70 and 8,115.40

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Solution

The fourth proportional to 9,569.80, 14,354.70 and 8,115.40 is: 12,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.80 : 14,354.70 = 8,115.40 : x
  2. Step 2: Convert to fraction form
    9,569.80/14,354.70 = 8,115.40/x
  3. Step 3: Cross multiply
    9,569.80x = 14,354.70 × 8,115.40
  4. Step 4: Simplify right side
    9,569.80x = 116,494,132.38
  5. Step 5: Solve for x
    x = 116,494,132.38/9,569.80
  6. Step 6: Final answer
    x = 12,173.10

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Similar ratio
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1.5x scale

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.