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Finding the Fourth Proportional to 9,648.76, 13,311.30 and 5,870.56

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Solution

The fourth proportional to 9,648.76, 13,311.30 and 5,870.56 is: 8,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.76 : 13,311.30 = 5,870.56 : x
  2. Step 2: Convert to fraction form
    9,648.76/13,311.30 = 5,870.56/x
  3. Step 3: Cross multiply
    9,648.76x = 13,311.30 × 5,870.56
  4. Step 4: Simplify right side
    9,648.76x = 78,144,785.33
  5. Step 5: Solve for x
    x = 78,144,785.33/9,648.76
  6. Step 6: Final answer
    x = 8,098.95

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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.