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Finding the Fourth Proportional to 9,947.04, 14,829.06 and 9,480.48

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Solution

The fourth proportional to 9,947.04, 14,829.06 and 9,480.48 is: 14,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.04 : 14,829.06 = 9,480.48 : x
  2. Step 2: Convert to fraction form
    9,947.04/14,829.06 = 9,480.48/x
  3. Step 3: Cross multiply
    9,947.04x = 14,829.06 × 9,480.48
  4. Step 4: Simplify right side
    9,947.04x = 140,586,606.75
  5. Step 5: Solve for x
    x = 140,586,606.75/9,947.04
  6. Step 6: Final answer
    x = 14,133.51

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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.