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Finding the Fourth Proportional to 9,800.59, 14,691.46 and 6,280.74

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Solution

The fourth proportional to 9,800.59, 14,691.46 and 6,280.74 is: 9,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.59 : 14,691.46 = 6,280.74 : x
  2. Step 2: Convert to fraction form
    9,800.59/14,691.46 = 6,280.74/x
  3. Step 3: Cross multiply
    9,800.59x = 14,691.46 × 6,280.74
  4. Step 4: Simplify right side
    9,800.59x = 92,273,240.48
  5. Step 5: Solve for x
    x = 92,273,240.48/9,800.59
  6. Step 6: Final answer
    x = 9,415.07

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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.