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Finding the Fourth Proportional to 9,648.23, 13,311.07 and 5,870.18

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Solution

The fourth proportional to 9,648.23, 13,311.07 and 5,870.18 is: 8,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.23 : 13,311.07 = 5,870.18 : x
  2. Step 2: Convert to fraction form
    9,648.23/13,311.07 = 5,870.18/x
  3. Step 3: Cross multiply
    9,648.23x = 13,311.07 × 5,870.18
  4. Step 4: Simplify right side
    9,648.23x = 78,138,395.49
  5. Step 5: Solve for x
    x = 78,138,395.49/9,648.23
  6. Step 6: Final answer
    x = 8,098.73

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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.