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Finding the Fourth Proportional to 9,943.84, 14,917.80 and 4,100.84

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Solution

The fourth proportional to 9,943.84, 14,917.80 and 4,100.84 is: 6,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.84 : 14,917.80 = 4,100.84 : x
  2. Step 2: Convert to fraction form
    9,943.84/14,917.80 = 4,100.84/x
  3. Step 3: Cross multiply
    9,943.84x = 14,917.80 × 4,100.84
  4. Step 4: Simplify right side
    9,943.84x = 61,175,510.95
  5. Step 5: Solve for x
    x = 61,175,510.95/9,943.84
  6. Step 6: Final answer
    x = 6,152.10

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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.