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Finding the Fourth Proportional to 9,587.76, 13,228.02 and 5,395.20

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Solution

The fourth proportional to 9,587.76, 13,228.02 and 5,395.20 is: 7,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.76 : 13,228.02 = 5,395.20 : x
  2. Step 2: Convert to fraction form
    9,587.76/13,228.02 = 5,395.20/x
  3. Step 3: Cross multiply
    9,587.76x = 13,228.02 × 5,395.20
  4. Step 4: Simplify right side
    9,587.76x = 71,367,813.50
  5. Step 5: Solve for x
    x = 71,367,813.50/9,587.76
  6. Step 6: Final answer
    x = 7,443.64

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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.