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Finding the Fourth Proportional to 9,385.92, 14,048.64 and 6,455.52

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Solution

The fourth proportional to 9,385.92, 14,048.64 and 6,455.52 is: 9,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.92 : 14,048.64 = 6,455.52 : x
  2. Step 2: Convert to fraction form
    9,385.92/14,048.64 = 6,455.52/x
  3. Step 3: Cross multiply
    9,385.92x = 14,048.64 × 6,455.52
  4. Step 4: Simplify right side
    9,385.92x = 90,691,276.49
  5. Step 5: Solve for x
    x = 90,691,276.49/9,385.92
  6. Step 6: Final answer
    x = 9,662.48

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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.