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Finding the Fourth Proportional to 6,442.38, 8,895.51 and 4,947.93

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Solution

The fourth proportional to 6,442.38, 8,895.51 and 4,947.93 is: 6,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.38 : 8,895.51 = 4,947.93 : x
  2. Step 2: Convert to fraction form
    6,442.38/8,895.51 = 4,947.93/x
  3. Step 3: Cross multiply
    6,442.38x = 8,895.51 × 4,947.93
  4. Step 4: Simplify right side
    6,442.38x = 44,014,360.79
  5. Step 5: Solve for x
    x = 44,014,360.79/6,442.38
  6. Step 6: Final answer
    x = 6,832.00

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Why These Related Problems?

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