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Finding the Fourth Proportional to 6,574.76, 9,858.35 and 4,497.27

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Solution

The fourth proportional to 6,574.76, 9,858.35 and 4,497.27 is: 6,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.76 : 9,858.35 = 4,497.27 : x
  2. Step 2: Convert to fraction form
    6,574.76/9,858.35 = 4,497.27/x
  3. Step 3: Cross multiply
    6,574.76x = 9,858.35 × 4,497.27
  4. Step 4: Simplify right side
    6,574.76x = 44,335,639.22
  5. Step 5: Solve for x
    x = 44,335,639.22/6,574.76
  6. Step 6: Final answer
    x = 6,743.31

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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.