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Finding the Fourth Proportional to 6,272.19, 9,400.14 and 2,570.13

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Solution

The fourth proportional to 6,272.19, 9,400.14 and 2,570.13 is: 3,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.19 : 9,400.14 = 2,570.13 : x
  2. Step 2: Convert to fraction form
    6,272.19/9,400.14 = 2,570.13/x
  3. Step 3: Cross multiply
    6,272.19x = 9,400.14 × 2,570.13
  4. Step 4: Simplify right side
    6,272.19x = 24,159,581.82
  5. Step 5: Solve for x
    x = 24,159,581.82/6,272.19
  6. Step 6: Final answer
    x = 3,851.86

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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.