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Finding the Fourth Proportional to 9,695.28, 13,407.56 and 9,520.40

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Solution

The fourth proportional to 9,695.28, 13,407.56 and 9,520.40 is: 13,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.28 : 13,407.56 = 9,520.40 : x
  2. Step 2: Convert to fraction form
    9,695.28/13,407.56 = 9,520.40/x
  3. Step 3: Cross multiply
    9,695.28x = 13,407.56 × 9,520.40
  4. Step 4: Simplify right side
    9,695.28x = 127,645,334.22
  5. Step 5: Solve for x
    x = 127,645,334.22/9,695.28
  6. Step 6: Final answer
    x = 13,165.72

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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.