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Finding the Fourth Proportional to 8,943.84, 13,402.08 and 6,011.28

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Solution

The fourth proportional to 8,943.84, 13,402.08 and 6,011.28 is: 9,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.84 : 13,402.08 = 6,011.28 : x
  2. Step 2: Convert to fraction form
    8,943.84/13,402.08 = 6,011.28/x
  3. Step 3: Cross multiply
    8,943.84x = 13,402.08 × 6,011.28
  4. Step 4: Simplify right side
    8,943.84x = 80,563,655.46
  5. Step 5: Solve for x
    x = 80,563,655.46/8,943.84
  6. Step 6: Final answer
    x = 9,007.73

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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.