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Finding the Fourth Proportional to 9,314.70, 12,852.12 and 5,281.32

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Solution

The fourth proportional to 9,314.70, 12,852.12 and 5,281.32 is: 7,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.70 : 12,852.12 = 5,281.32 : x
  2. Step 2: Convert to fraction form
    9,314.70/12,852.12 = 5,281.32/x
  3. Step 3: Cross multiply
    9,314.70x = 12,852.12 × 5,281.32
  4. Step 4: Simplify right side
    9,314.70x = 67,876,158.40
  5. Step 5: Solve for x
    x = 67,876,158.40/9,314.70
  6. Step 6: Final answer
    x = 7,286.99

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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.