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Finding the Fourth Proportional to 9,506.64, 13,119.12 and 5,314.92

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Solution

The fourth proportional to 9,506.64, 13,119.12 and 5,314.92 is: 7,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.64 : 13,119.12 = 5,314.92 : x
  2. Step 2: Convert to fraction form
    9,506.64/13,119.12 = 5,314.92/x
  3. Step 3: Cross multiply
    9,506.64x = 13,119.12 × 5,314.92
  4. Step 4: Simplify right side
    9,506.64x = 69,727,073.27
  5. Step 5: Solve for x
    x = 69,727,073.27/9,506.64
  6. Step 6: Final answer
    x = 7,334.57

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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.