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Finding the Fourth Proportional to 6,402.01, 9,603.32 and 3,111.18

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Solution

The fourth proportional to 6,402.01, 9,603.32 and 3,111.18 is: 4,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.01 : 9,603.32 = 3,111.18 : x
  2. Step 2: Convert to fraction form
    6,402.01/9,603.32 = 3,111.18/x
  3. Step 3: Cross multiply
    6,402.01x = 9,603.32 × 3,111.18
  4. Step 4: Simplify right side
    6,402.01x = 29,877,641.56
  5. Step 5: Solve for x
    x = 29,877,641.56/6,402.01
  6. Step 6: Final answer
    x = 4,666.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.