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Finding the Fourth Proportional to 6,292.84, 9,442.38 and 4,455.76

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Solution

The fourth proportional to 6,292.84, 9,442.38 and 4,455.76 is: 6,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.84 : 9,442.38 = 4,455.76 : x
  2. Step 2: Convert to fraction form
    6,292.84/9,442.38 = 4,455.76/x
  3. Step 3: Cross multiply
    6,292.84x = 9,442.38 × 4,455.76
  4. Step 4: Simplify right side
    6,292.84x = 42,072,979.11
  5. Step 5: Solve for x
    x = 42,072,979.11/6,292.84
  6. Step 6: Final answer
    x = 6,685.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.