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Finding the Fourth Proportional to 6,202.13, 9,303.20 and 1,585.13

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Solution

The fourth proportional to 6,202.13, 9,303.20 and 1,585.13 is: 2,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.13 : 9,303.20 = 1,585.13 : x
  2. Step 2: Convert to fraction form
    6,202.13/9,303.20 = 1,585.13/x
  3. Step 3: Cross multiply
    6,202.13x = 9,303.20 × 1,585.13
  4. Step 4: Simplify right side
    6,202.13x = 14,746,726.97
  5. Step 5: Solve for x
    x = 14,746,726.97/6,202.13
  6. Step 6: Final answer
    x = 2,377.69

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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.