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Finding the Fourth Proportional to 9,169.53, 13,762.15 and 9,100.50

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Solution

The fourth proportional to 9,169.53, 13,762.15 and 9,100.50 is: 13,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.53 : 13,762.15 = 9,100.50 : x
  2. Step 2: Convert to fraction form
    9,169.53/13,762.15 = 9,100.50/x
  3. Step 3: Cross multiply
    9,169.53x = 13,762.15 × 9,100.50
  4. Step 4: Simplify right side
    9,169.53x = 125,242,500.32
  5. Step 5: Solve for x
    x = 125,242,500.32/9,169.53
  6. Step 6: Final answer
    x = 13,658.55

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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.