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Finding the Fourth Proportional to 6,184.90, 9,277.44 and 2,024.88

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Solution

The fourth proportional to 6,184.90, 9,277.44 and 2,024.88 is: 3,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.90 : 9,277.44 = 2,024.88 : x
  2. Step 2: Convert to fraction form
    6,184.90/9,277.44 = 2,024.88/x
  3. Step 3: Cross multiply
    6,184.90x = 9,277.44 × 2,024.88
  4. Step 4: Simplify right side
    6,184.90x = 18,785,702.71
  5. Step 5: Solve for x
    x = 18,785,702.71/6,184.90
  6. Step 6: Final answer
    x = 3,037.35

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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.