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Finding the Fourth Proportional to 6,360.78, 9,545.31 and 4,804.38

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Solution

The fourth proportional to 6,360.78, 9,545.31 and 4,804.38 is: 7,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.78 : 9,545.31 = 4,804.38 : x
  2. Step 2: Convert to fraction form
    6,360.78/9,545.31 = 4,804.38/x
  3. Step 3: Cross multiply
    6,360.78x = 9,545.31 × 4,804.38
  4. Step 4: Simplify right side
    6,360.78x = 45,859,296.46
  5. Step 5: Solve for x
    x = 45,859,296.46/6,360.78
  6. Step 6: Final answer
    x = 7,209.70

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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.