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Finding the Fourth Proportional to 9,616.20, 14,405.10 and 5,507.40

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Solution

The fourth proportional to 9,616.20, 14,405.10 and 5,507.40 is: 8,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.20 : 14,405.10 = 5,507.40 : x
  2. Step 2: Convert to fraction form
    9,616.20/14,405.10 = 5,507.40/x
  3. Step 3: Cross multiply
    9,616.20x = 14,405.10 × 5,507.40
  4. Step 4: Simplify right side
    9,616.20x = 79,334,647.74
  5. Step 5: Solve for x
    x = 79,334,647.74/9,616.20
  6. Step 6: Final answer
    x = 8,250.10

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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.