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Finding the Fourth Proportional to 6,320.16, 9,480.24 and 5,844

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Solution

The fourth proportional to 6,320.16, 9,480.24 and 5,844 is: 8,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.16 : 9,480.24 = 5,844 : x
  2. Step 2: Convert to fraction form
    6,320.16/9,480.24 = 5,844/x
  3. Step 3: Cross multiply
    6,320.16x = 9,480.24 × 5,844
  4. Step 4: Simplify right side
    6,320.16x = 55,402,522.56
  5. Step 5: Solve for x
    x = 55,402,522.56/6,320.16
  6. Step 6: Final answer
    x = 8,766

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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.