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Finding the Fourth Proportional to 7,045.02, 9,722.34 and 3,901.20

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Solution

The fourth proportional to 7,045.02, 9,722.34 and 3,901.20 is: 5,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.02 : 9,722.34 = 3,901.20 : x
  2. Step 2: Convert to fraction form
    7,045.02/9,722.34 = 3,901.20/x
  3. Step 3: Cross multiply
    7,045.02x = 9,722.34 × 3,901.20
  4. Step 4: Simplify right side
    7,045.02x = 37,928,792.81
  5. Step 5: Solve for x
    x = 37,928,792.81/7,045.02
  6. Step 6: Final answer
    x = 5,383.77

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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.