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Finding the Fourth Proportional to 9,943.68, 14,900.16 and 6,288

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Solution

The fourth proportional to 9,943.68, 14,900.16 and 6,288 is: 9,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.68 : 14,900.16 = 6,288 : x
  2. Step 2: Convert to fraction form
    9,943.68/14,900.16 = 6,288/x
  3. Step 3: Cross multiply
    9,943.68x = 14,900.16 × 6,288
  4. Step 4: Simplify right side
    9,943.68x = 93,692,206.08
  5. Step 5: Solve for x
    x = 93,692,206.08/9,943.68
  6. Step 6: Final answer
    x = 9,422.29

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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.