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Finding the Fourth Proportional to 9,695.28, 13,386.24 and 6,513.42

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Solution

The fourth proportional to 9,695.28, 13,386.24 and 6,513.42 is: 8,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.28 : 13,386.24 = 6,513.42 : x
  2. Step 2: Convert to fraction form
    9,695.28/13,386.24 = 6,513.42/x
  3. Step 3: Cross multiply
    9,695.28x = 13,386.24 × 6,513.42
  4. Step 4: Simplify right side
    9,695.28x = 87,190,203.34
  5. Step 5: Solve for x
    x = 87,190,203.34/9,695.28
  6. Step 6: Final answer
    x = 8,993.06

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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.