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Finding the Fourth Proportional to 10,622.62, 14,642.40 and 9,765.10

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Solution

The fourth proportional to 10,622.62, 14,642.40 and 9,765.10 is: 13,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.62 : 14,642.40 = 9,765.10 : x
  2. Step 2: Convert to fraction form
    10,622.62/14,642.40 = 9,765.10/x
  3. Step 3: Cross multiply
    10,622.62x = 14,642.40 × 9,765.10
  4. Step 4: Simplify right side
    10,622.62x = 142,984,500.24
  5. Step 5: Solve for x
    x = 142,984,500.24/10,622.62
  6. Step 6: Final answer
    x = 13,460.38

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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.