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Finding the Fourth Proportional to 9,645.62, 13,314.78 and 6,291.32

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Solution

The fourth proportional to 9,645.62, 13,314.78 and 6,291.32 is: 8,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.62 : 13,314.78 = 6,291.32 : x
  2. Step 2: Convert to fraction form
    9,645.62/13,314.78 = 6,291.32/x
  3. Step 3: Cross multiply
    9,645.62x = 13,314.78 × 6,291.32
  4. Step 4: Simplify right side
    9,645.62x = 83,767,475.14
  5. Step 5: Solve for x
    x = 83,767,475.14/9,645.62
  6. Step 6: Final answer
    x = 8,684.51

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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.