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Finding the Fourth Proportional to 9,695.12, 13,447.27 and 9,301.46

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Solution

The fourth proportional to 9,695.12, 13,447.27 and 9,301.46 is: 12,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.12 : 13,447.27 = 9,301.46 : x
  2. Step 2: Convert to fraction form
    9,695.12/13,447.27 = 9,301.46/x
  3. Step 3: Cross multiply
    9,695.12x = 13,447.27 × 9,301.46
  4. Step 4: Simplify right side
    9,695.12x = 125,079,254.38
  5. Step 5: Solve for x
    x = 125,079,254.38/9,695.12
  6. Step 6: Final answer
    x = 12,901.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.