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Finding the Fourth Proportional to 9,839.99, 14,697.28 and 8,901.49

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Solution

The fourth proportional to 9,839.99, 14,697.28 and 8,901.49 is: 13,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.99 : 14,697.28 = 8,901.49 : x
  2. Step 2: Convert to fraction form
    9,839.99/14,697.28 = 8,901.49/x
  3. Step 3: Cross multiply
    9,839.99x = 14,697.28 × 8,901.49
  4. Step 4: Simplify right side
    9,839.99x = 130,827,683.18
  5. Step 5: Solve for x
    x = 130,827,683.18/9,839.99
  6. Step 6: Final answer
    x = 13,295.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.