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Finding the Fourth Proportional to 9,468.58, 13,065.52 and 5,489.16

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Solution

The fourth proportional to 9,468.58, 13,065.52 and 5,489.16 is: 7,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.58 : 13,065.52 = 5,489.16 : x
  2. Step 2: Convert to fraction form
    9,468.58/13,065.52 = 5,489.16/x
  3. Step 3: Cross multiply
    9,468.58x = 13,065.52 × 5,489.16
  4. Step 4: Simplify right side
    9,468.58x = 71,718,729.76
  5. Step 5: Solve for x
    x = 71,718,729.76/9,468.58
  6. Step 6: Final answer
    x = 7,574.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.