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Finding the Fourth Proportional to 7,133.40, 9,847.98 and 4,301.28

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Solution

The fourth proportional to 7,133.40, 9,847.98 and 4,301.28 is: 5,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.40 : 9,847.98 = 4,301.28 : x
  2. Step 2: Convert to fraction form
    7,133.40/9,847.98 = 4,301.28/x
  3. Step 3: Cross multiply
    7,133.40x = 9,847.98 × 4,301.28
  4. Step 4: Simplify right side
    7,133.40x = 42,358,919.41
  5. Step 5: Solve for x
    x = 42,358,919.41/7,133.40
  6. Step 6: Final answer
    x = 5,938.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.