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Finding the Fourth Proportional to 9,542.56, 14,300.88 and 4,928.80

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Solution

The fourth proportional to 9,542.56, 14,300.88 and 4,928.80 is: 7,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.56 : 14,300.88 = 4,928.80 : x
  2. Step 2: Convert to fraction form
    9,542.56/14,300.88 = 4,928.80/x
  3. Step 3: Cross multiply
    9,542.56x = 14,300.88 × 4,928.80
  4. Step 4: Simplify right side
    9,542.56x = 70,486,177.34
  5. Step 5: Solve for x
    x = 70,486,177.34/9,542.56
  6. Step 6: Final answer
    x = 7,386.51

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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.