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Finding the Fourth Proportional to 9,314.64, 12,853.26 and 5,281.65

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Solution

The fourth proportional to 9,314.64, 12,853.26 and 5,281.65 is: 7,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.64 : 12,853.26 = 5,281.65 : x
  2. Step 2: Convert to fraction form
    9,314.64/12,853.26 = 5,281.65/x
  3. Step 3: Cross multiply
    9,314.64x = 12,853.26 × 5,281.65
  4. Step 4: Simplify right side
    9,314.64x = 67,886,420.68
  5. Step 5: Solve for x
    x = 67,886,420.68/9,314.64
  6. Step 6: Final answer
    x = 7,288.14

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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.