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Finding the Fourth Proportional to 6,870.17, 9,480.80 and 3,726.35

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Solution

The fourth proportional to 6,870.17, 9,480.80 and 3,726.35 is: 5,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.17 : 9,480.80 = 3,726.35 : x
  2. Step 2: Convert to fraction form
    6,870.17/9,480.80 = 3,726.35/x
  3. Step 3: Cross multiply
    6,870.17x = 9,480.80 × 3,726.35
  4. Step 4: Simplify right side
    6,870.17x = 35,328,808.91
  5. Step 5: Solve for x
    x = 35,328,808.91/6,870.17
  6. Step 6: Final answer
    x = 5,142.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.