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Finding the Fourth Proportional to 9,616.52, 14,419.62 and 4,934.60

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Solution

The fourth proportional to 9,616.52, 14,419.62 and 4,934.60 is: 7,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.52 : 14,419.62 = 4,934.60 : x
  2. Step 2: Convert to fraction form
    9,616.52/14,419.62 = 4,934.60/x
  3. Step 3: Cross multiply
    9,616.52x = 14,419.62 × 4,934.60
  4. Step 4: Simplify right side
    9,616.52x = 71,155,056.85
  5. Step 5: Solve for x
    x = 71,155,056.85/9,616.52
  6. Step 6: Final answer
    x = 7,399.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.