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Finding the Fourth Proportional to 9,913.84, 14,864.54 and 5,230.90

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Solution

The fourth proportional to 9,913.84, 14,864.54 and 5,230.90 is: 7,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.84 : 14,864.54 = 5,230.90 : x
  2. Step 2: Convert to fraction form
    9,913.84/14,864.54 = 5,230.90/x
  3. Step 3: Cross multiply
    9,913.84x = 14,864.54 × 5,230.90
  4. Step 4: Simplify right side
    9,913.84x = 77,754,821.81
  5. Step 5: Solve for x
    x = 77,754,821.81/9,913.84
  6. Step 6: Final answer
    x = 7,843.06

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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.