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Finding the Fourth Proportional to 6,317.16, 9,475.71 and 1,934.46

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Solution

The fourth proportional to 6,317.16, 9,475.71 and 1,934.46 is: 2,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.16 : 9,475.71 = 1,934.46 : x
  2. Step 2: Convert to fraction form
    6,317.16/9,475.71 = 1,934.46/x
  3. Step 3: Cross multiply
    6,317.16x = 9,475.71 × 1,934.46
  4. Step 4: Simplify right side
    6,317.16x = 18,330,381.97
  5. Step 5: Solve for x
    x = 18,330,381.97/6,317.16
  6. Step 6: Final answer
    x = 2,901.68

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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.