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Finding the Fourth Proportional to 9,412.74, 12,989.65 and 6,428.50

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Solution

The fourth proportional to 9,412.74, 12,989.65 and 6,428.50 is: 8,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.74 : 12,989.65 = 6,428.50 : x
  2. Step 2: Convert to fraction form
    9,412.74/12,989.65 = 6,428.50/x
  3. Step 3: Cross multiply
    9,412.74x = 12,989.65 × 6,428.50
  4. Step 4: Simplify right side
    9,412.74x = 83,503,965.03
  5. Step 5: Solve for x
    x = 83,503,965.03/9,412.74
  6. Step 6: Final answer
    x = 8,871.38

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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.