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Finding the Fourth Proportional to 9,502.32, 13,103.10 and 6,522.48

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Solution

The fourth proportional to 9,502.32, 13,103.10 and 6,522.48 is: 8,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.32 : 13,103.10 = 6,522.48 : x
  2. Step 2: Convert to fraction form
    9,502.32/13,103.10 = 6,522.48/x
  3. Step 3: Cross multiply
    9,502.32x = 13,103.10 × 6,522.48
  4. Step 4: Simplify right side
    9,502.32x = 85,464,707.69
  5. Step 5: Solve for x
    x = 85,464,707.69/9,502.32
  6. Step 6: Final answer
    x = 8,994.09

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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.