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Finding the Fourth Proportional to 9,616.16, 14,417.52 and 4,419.20

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Solution

The fourth proportional to 9,616.16, 14,417.52 and 4,419.20 is: 6,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.16 : 14,417.52 = 4,419.20 : x
  2. Step 2: Convert to fraction form
    9,616.16/14,417.52 = 4,419.20/x
  3. Step 3: Cross multiply
    9,616.16x = 14,417.52 × 4,419.20
  4. Step 4: Simplify right side
    9,616.16x = 63,713,904.38
  5. Step 5: Solve for x
    x = 63,713,904.38/9,616.16
  6. Step 6: Final answer
    x = 6,625.71

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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.