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Finding the Fourth Proportional to 9,517.10, 13,135.16 and 6,530.48

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Solution

The fourth proportional to 9,517.10, 13,135.16 and 6,530.48 is: 9,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.10 : 13,135.16 = 6,530.48 : x
  2. Step 2: Convert to fraction form
    9,517.10/13,135.16 = 6,530.48/x
  3. Step 3: Cross multiply
    9,517.10x = 13,135.16 × 6,530.48
  4. Step 4: Simplify right side
    9,517.10x = 85,778,948.84
  5. Step 5: Solve for x
    x = 85,778,948.84/9,517.10
  6. Step 6: Final answer
    x = 9,013.14

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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.