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Finding the Fourth Proportional to 9,077.12, 13,615.80 and 4,396.16

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Solution

The fourth proportional to 9,077.12, 13,615.80 and 4,396.16 is: 6,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.12 : 13,615.80 = 4,396.16 : x
  2. Step 2: Convert to fraction form
    9,077.12/13,615.80 = 4,396.16/x
  3. Step 3: Cross multiply
    9,077.12x = 13,615.80 × 4,396.16
  4. Step 4: Simplify right side
    9,077.12x = 59,857,235.33
  5. Step 5: Solve for x
    x = 59,857,235.33/9,077.12
  6. Step 6: Final answer
    x = 6,594.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.