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Finding the Fourth Proportional to 9,704.61, 13,482.18 and 9,613.35

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Solution

The fourth proportional to 9,704.61, 13,482.18 and 9,613.35 is: 13,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.61 : 13,482.18 = 9,613.35 : x
  2. Step 2: Convert to fraction form
    9,704.61/13,482.18 = 9,613.35/x
  3. Step 3: Cross multiply
    9,704.61x = 13,482.18 × 9,613.35
  4. Step 4: Simplify right side
    9,704.61x = 129,608,915.10
  5. Step 5: Solve for x
    x = 129,608,915.10/9,704.61
  6. Step 6: Final answer
    x = 13,355.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.