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Finding the Fourth Proportional to 8,926.30, 13,391.47 and 6,154.07

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Solution

The fourth proportional to 8,926.30, 13,391.47 and 6,154.07 is: 9,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.30 : 13,391.47 = 6,154.07 : x
  2. Step 2: Convert to fraction form
    8,926.30/13,391.47 = 6,154.07/x
  3. Step 3: Cross multiply
    8,926.30x = 13,391.47 × 6,154.07
  4. Step 4: Simplify right side
    8,926.30x = 82,412,043.78
  5. Step 5: Solve for x
    x = 82,412,043.78/8,926.30
  6. Step 6: Final answer
    x = 9,232.50

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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.