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Finding the Fourth Proportional to 6,387.49, 9,574.75 and 4,046.77

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Solution

The fourth proportional to 6,387.49, 9,574.75 and 4,046.77 is: 6,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.49 : 9,574.75 = 4,046.77 : x
  2. Step 2: Convert to fraction form
    6,387.49/9,574.75 = 4,046.77/x
  3. Step 3: Cross multiply
    6,387.49x = 9,574.75 × 4,046.77
  4. Step 4: Simplify right side
    6,387.49x = 38,746,811.06
  5. Step 5: Solve for x
    x = 38,746,811.06/6,387.49
  6. Step 6: Final answer
    x = 6,066.05

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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.