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Finding the Fourth Proportional to 9,673.28, 14,509.92 and 6,385.60

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Solution

The fourth proportional to 9,673.28, 14,509.92 and 6,385.60 is: 9,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.28 : 14,509.92 = 6,385.60 : x
  2. Step 2: Convert to fraction form
    9,673.28/14,509.92 = 6,385.60/x
  3. Step 3: Cross multiply
    9,673.28x = 14,509.92 × 6,385.60
  4. Step 4: Simplify right side
    9,673.28x = 92,654,513.22
  5. Step 5: Solve for x
    x = 92,654,513.22/9,673.28
  6. Step 6: Final answer
    x = 9,578.40

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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.