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Finding the Fourth Proportional to 6,207.17, 8,574.62 and 5,646.65

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Solution

The fourth proportional to 6,207.17, 8,574.62 and 5,646.65 is: 7,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.17 : 8,574.62 = 5,646.65 : x
  2. Step 2: Convert to fraction form
    6,207.17/8,574.62 = 5,646.65/x
  3. Step 3: Cross multiply
    6,207.17x = 8,574.62 × 5,646.65
  4. Step 4: Simplify right side
    6,207.17x = 48,417,878.02
  5. Step 5: Solve for x
    x = 48,417,878.02/6,207.17
  6. Step 6: Final answer
    x = 7,800.31

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