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Finding the Fourth Proportional to 9,691.67, 14,535.23 and 3,117.93

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Solution

The fourth proportional to 9,691.67, 14,535.23 and 3,117.93 is: 4,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.67 : 14,535.23 = 3,117.93 : x
  2. Step 2: Convert to fraction form
    9,691.67/14,535.23 = 3,117.93/x
  3. Step 3: Cross multiply
    9,691.67x = 14,535.23 × 3,117.93
  4. Step 4: Simplify right side
    9,691.67x = 45,319,814.08
  5. Step 5: Solve for x
    x = 45,319,814.08/9,691.67
  6. Step 6: Final answer
    x = 4,676.16

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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.