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Finding the Fourth Proportional to 9,154.52, 13,740.03 and 4,775.05

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Solution

The fourth proportional to 9,154.52, 13,740.03 and 4,775.05 is: 7,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.52 : 13,740.03 = 4,775.05 : x
  2. Step 2: Convert to fraction form
    9,154.52/13,740.03 = 4,775.05/x
  3. Step 3: Cross multiply
    9,154.52x = 13,740.03 × 4,775.05
  4. Step 4: Simplify right side
    9,154.52x = 65,609,347.43
  5. Step 5: Solve for x
    x = 65,609,347.43/9,154.52
  6. Step 6: Final answer
    x = 7,166.88

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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.