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Finding the Fourth Proportional to 7,193.84, 9,922.20 and 5,425.52

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Solution

The fourth proportional to 7,193.84, 9,922.20 and 5,425.52 is: 7,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.84 : 9,922.20 = 5,425.52 : x
  2. Step 2: Convert to fraction form
    7,193.84/9,922.20 = 5,425.52/x
  3. Step 3: Cross multiply
    7,193.84x = 9,922.20 × 5,425.52
  4. Step 4: Simplify right side
    7,193.84x = 53,833,094.54
  5. Step 5: Solve for x
    x = 53,833,094.54/7,193.84
  6. Step 6: Final answer
    x = 7,483.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.