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Finding the Fourth Proportional to 9,981.84, 14,983.14 and 7,352.31

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Solution

The fourth proportional to 9,981.84, 14,983.14 and 7,352.31 is: 11,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.84 : 14,983.14 = 7,352.31 : x
  2. Step 2: Convert to fraction form
    9,981.84/14,983.14 = 7,352.31/x
  3. Step 3: Cross multiply
    9,981.84x = 14,983.14 × 7,352.31
  4. Step 4: Simplify right side
    9,981.84x = 110,160,690.05
  5. Step 5: Solve for x
    x = 110,160,690.05/9,981.84
  6. Step 6: Final answer
    x = 11,036.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.