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Finding the Fourth Proportional to 9,981.95, 13,774.60 and 6,002.30

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Solution

The fourth proportional to 9,981.95, 13,774.60 and 6,002.30 is: 8,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.95 : 13,774.60 = 6,002.30 : x
  2. Step 2: Convert to fraction form
    9,981.95/13,774.60 = 6,002.30/x
  3. Step 3: Cross multiply
    9,981.95x = 13,774.60 × 6,002.30
  4. Step 4: Simplify right side
    9,981.95x = 82,679,182.70
  5. Step 5: Solve for x
    x = 82,679,182.70/9,981.95
  6. Step 6: Final answer
    x = 8,282.87

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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.