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Finding the Fourth Proportional to 9,587.64, 13,230.59 and 5,338.88

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Solution

The fourth proportional to 9,587.64, 13,230.59 and 5,338.88 is: 7,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.64 : 13,230.59 = 5,338.88 : x
  2. Step 2: Convert to fraction form
    9,587.64/13,230.59 = 5,338.88/x
  3. Step 3: Cross multiply
    9,587.64x = 13,230.59 × 5,338.88
  4. Step 4: Simplify right side
    9,587.64x = 70,636,439.49
  5. Step 5: Solve for x
    x = 70,636,439.49/9,587.64
  6. Step 6: Final answer
    x = 7,367.45

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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.