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Finding the Fourth Proportional to 9,124.84, 13,681.80 and 4,435.62

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Solution

The fourth proportional to 9,124.84, 13,681.80 and 4,435.62 is: 6,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.84 : 13,681.80 = 4,435.62 : x
  2. Step 2: Convert to fraction form
    9,124.84/13,681.80 = 4,435.62/x
  3. Step 3: Cross multiply
    9,124.84x = 13,681.80 × 4,435.62
  4. Step 4: Simplify right side
    9,124.84x = 60,687,265.72
  5. Step 5: Solve for x
    x = 60,687,265.72/9,124.84
  6. Step 6: Final answer
    x = 6,650.78

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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.