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Finding the Fourth Proportional to 9,124.89, 12,592.02 and 5,145.48

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Solution

The fourth proportional to 9,124.89, 12,592.02 and 5,145.48 is: 7,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.89 : 12,592.02 = 5,145.48 : x
  2. Step 2: Convert to fraction form
    9,124.89/12,592.02 = 5,145.48/x
  3. Step 3: Cross multiply
    9,124.89x = 12,592.02 × 5,145.48
  4. Step 4: Simplify right side
    9,124.89x = 64,791,987.07
  5. Step 5: Solve for x
    x = 64,791,987.07/9,124.89
  6. Step 6: Final answer
    x = 7,100.58

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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.