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Finding the Fourth Proportional to 9,695.46, 13,369.14 and 6,546.18

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Solution

The fourth proportional to 9,695.46, 13,369.14 and 6,546.18 is: 9,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.46 : 13,369.14 = 6,546.18 : x
  2. Step 2: Convert to fraction form
    9,695.46/13,369.14 = 6,546.18/x
  3. Step 3: Cross multiply
    9,695.46x = 13,369.14 × 6,546.18
  4. Step 4: Simplify right side
    9,695.46x = 87,516,796.89
  5. Step 5: Solve for x
    x = 87,516,796.89/9,695.46
  6. Step 6: Final answer
    x = 9,026.58

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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.