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Finding the Fourth Proportional to 9,480.28, 13,080.39 and 5,702.23

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Solution

The fourth proportional to 9,480.28, 13,080.39 and 5,702.23 is: 7,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.28 : 13,080.39 = 5,702.23 : x
  2. Step 2: Convert to fraction form
    9,480.28/13,080.39 = 5,702.23/x
  3. Step 3: Cross multiply
    9,480.28x = 13,080.39 × 5,702.23
  4. Step 4: Simplify right side
    9,480.28x = 74,587,392.27
  5. Step 5: Solve for x
    x = 74,587,392.27/9,480.28
  6. Step 6: Final answer
    x = 7,867.64

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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.