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Finding the Fourth Proportional to 6,595.30, 9,102 and 3,944.17

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Solution

The fourth proportional to 6,595.30, 9,102 and 3,944.17 is: 5,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.30 : 9,102 = 3,944.17 : x
  2. Step 2: Convert to fraction form
    6,595.30/9,102 = 3,944.17/x
  3. Step 3: Cross multiply
    6,595.30x = 9,102 × 3,944.17
  4. Step 4: Simplify right side
    6,595.30x = 35,899,835.34
  5. Step 5: Solve for x
    x = 35,899,835.34/6,595.30
  6. Step 6: Final answer
    x = 5,443.25

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