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Finding the Fourth Proportional to 6,319.06, 9,471.53 and 2,366.52

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Solution

The fourth proportional to 6,319.06, 9,471.53 and 2,366.52 is: 3,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.06 : 9,471.53 = 2,366.52 : x
  2. Step 2: Convert to fraction form
    6,319.06/9,471.53 = 2,366.52/x
  3. Step 3: Cross multiply
    6,319.06x = 9,471.53 × 2,366.52
  4. Step 4: Simplify right side
    6,319.06x = 22,414,535.57
  5. Step 5: Solve for x
    x = 22,414,535.57/6,319.06
  6. Step 6: Final answer
    x = 3,547.13

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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.