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Finding the Fourth Proportional to 9,496.80, 13,077.60 and 6,509.52

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Solution

The fourth proportional to 9,496.80, 13,077.60 and 6,509.52 is: 8,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.80 : 13,077.60 = 6,509.52 : x
  2. Step 2: Convert to fraction form
    9,496.80/13,077.60 = 6,509.52/x
  3. Step 3: Cross multiply
    9,496.80x = 13,077.60 × 6,509.52
  4. Step 4: Simplify right side
    9,496.80x = 85,128,898.75
  5. Step 5: Solve for x
    x = 85,128,898.75/9,496.80
  6. Step 6: Final answer
    x = 8,963.96

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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.