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Finding the Fourth Proportional to 9,807.44, 14,710.82 and 2,411.73

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Solution

The fourth proportional to 9,807.44, 14,710.82 and 2,411.73 is: 3,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 14,710.82 = 2,411.73 : x
  2. Step 2: Convert to fraction form
    9,807.44/14,710.82 = 2,411.73/x
  3. Step 3: Cross multiply
    9,807.44x = 14,710.82 × 2,411.73
  4. Step 4: Simplify right side
    9,807.44x = 35,478,513.86
  5. Step 5: Solve for x
    x = 35,478,513.86/9,807.44
  6. Step 6: Final answer
    x = 3,617.51

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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.