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Finding the Fourth Proportional to 9,520.64, 13,139.28 and 5,328.80

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Solution

The fourth proportional to 9,520.64, 13,139.28 and 5,328.80 is: 7,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.64 : 13,139.28 = 5,328.80 : x
  2. Step 2: Convert to fraction form
    9,520.64/13,139.28 = 5,328.80/x
  3. Step 3: Cross multiply
    9,520.64x = 13,139.28 × 5,328.80
  4. Step 4: Simplify right side
    9,520.64x = 70,016,595.26
  5. Step 5: Solve for x
    x = 70,016,595.26/9,520.64
  6. Step 6: Final answer
    x = 7,354.19

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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.