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Finding the Fourth Proportional to 28,034.40, 42,052.56 and 9,564

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Solution

The fourth proportional to 28,034.40, 42,052.56 and 9,564 is: 14,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,034.40 : 42,052.56 = 9,564 : x
  2. Step 2: Convert to fraction form
    28,034.40/42,052.56 = 9,564/x
  3. Step 3: Cross multiply
    28,034.40x = 42,052.56 × 9,564
  4. Step 4: Simplify right side
    28,034.40x = 402,190,683.84
  5. Step 5: Solve for x
    x = 402,190,683.84/28,034.40
  6. Step 6: Final answer
    x = 14,346.33

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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.