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Finding the Fourth Proportional to 9,691.35, 14,535.66 and 3,116.70

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Solution

The fourth proportional to 9,691.35, 14,535.66 and 3,116.70 is: 4,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.35 : 14,535.66 = 3,116.70 : x
  2. Step 2: Convert to fraction form
    9,691.35/14,535.66 = 3,116.70/x
  3. Step 3: Cross multiply
    9,691.35x = 14,535.66 × 3,116.70
  4. Step 4: Simplify right side
    9,691.35x = 45,303,291.52
  5. Step 5: Solve for x
    x = 45,303,291.52/9,691.35
  6. Step 6: Final answer
    x = 4,674.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.