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Finding the Fourth Proportional to 6,373.14, 9,557.28 and 1,929.90

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Solution

The fourth proportional to 6,373.14, 9,557.28 and 1,929.90 is: 2,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.14 : 9,557.28 = 1,929.90 : x
  2. Step 2: Convert to fraction form
    6,373.14/9,557.28 = 1,929.90/x
  3. Step 3: Cross multiply
    6,373.14x = 9,557.28 × 1,929.90
  4. Step 4: Simplify right side
    6,373.14x = 18,444,594.67
  5. Step 5: Solve for x
    x = 18,444,594.67/6,373.14
  6. Step 6: Final answer
    x = 2,894.11

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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.