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Finding the Fourth Proportional to 9,281.76, 13,921.98 and 4,352.52

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Solution

The fourth proportional to 9,281.76, 13,921.98 and 4,352.52 is: 6,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.76 : 13,921.98 = 4,352.52 : x
  2. Step 2: Convert to fraction form
    9,281.76/13,921.98 = 4,352.52/x
  3. Step 3: Cross multiply
    9,281.76x = 13,921.98 × 4,352.52
  4. Step 4: Simplify right side
    9,281.76x = 60,595,696.39
  5. Step 5: Solve for x
    x = 60,595,696.39/9,281.76
  6. Step 6: Final answer
    x = 6,528.47

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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.