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Finding the Fourth Proportional to 9,616.03, 14,424.52 and 4,689.88

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Solution

The fourth proportional to 9,616.03, 14,424.52 and 4,689.88 is: 7,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.03 : 14,424.52 = 4,689.88 : x
  2. Step 2: Convert to fraction form
    9,616.03/14,424.52 = 4,689.88/x
  3. Step 3: Cross multiply
    9,616.03x = 14,424.52 × 4,689.88
  4. Step 4: Simplify right side
    9,616.03x = 67,649,267.86
  5. Step 5: Solve for x
    x = 67,649,267.86/9,616.03
  6. Step 6: Final answer
    x = 7,035.05

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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.