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Finding the Fourth Proportional to 9,535.77, 14,305.71 and 3,913.45

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Solution

The fourth proportional to 9,535.77, 14,305.71 and 3,913.45 is: 5,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.77 : 14,305.71 = 3,913.45 : x
  2. Step 2: Convert to fraction form
    9,535.77/14,305.71 = 3,913.45/x
  3. Step 3: Cross multiply
    9,535.77x = 14,305.71 × 3,913.45
  4. Step 4: Simplify right side
    9,535.77x = 55,984,680.80
  5. Step 5: Solve for x
    x = 55,984,680.80/9,535.77
  6. Step 6: Final answer
    x = 5,871.02

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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.