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Finding the Fourth Proportional to 8,731.44, 12,034.98 and 6,840

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Solution

The fourth proportional to 8,731.44, 12,034.98 and 6,840 is: 9,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.44 : 12,034.98 = 6,840 : x
  2. Step 2: Convert to fraction form
    8,731.44/12,034.98 = 6,840/x
  3. Step 3: Cross multiply
    8,731.44x = 12,034.98 × 6,840
  4. Step 4: Simplify right side
    8,731.44x = 82,319,263.20
  5. Step 5: Solve for x
    x = 82,319,263.20/8,731.44
  6. Step 6: Final answer
    x = 9,427.91

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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.