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Finding the Fourth Proportional to 6,260.47, 9,345.02 and 5,797.96

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Solution

The fourth proportional to 6,260.47, 9,345.02 and 5,797.96 is: 8,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.47 : 9,345.02 = 5,797.96 : x
  2. Step 2: Convert to fraction form
    6,260.47/9,345.02 = 5,797.96/x
  3. Step 3: Cross multiply
    6,260.47x = 9,345.02 × 5,797.96
  4. Step 4: Simplify right side
    6,260.47x = 54,181,999.81
  5. Step 5: Solve for x
    x = 54,181,999.81/6,260.47
  6. Step 6: Final answer
    x = 8,654.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.