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Finding the Fourth Proportional to 6,402.90, 9,603.63 and 2,506.26

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Solution

The fourth proportional to 6,402.90, 9,603.63 and 2,506.26 is: 3,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.90 : 9,603.63 = 2,506.26 : x
  2. Step 2: Convert to fraction form
    6,402.90/9,603.63 = 2,506.26/x
  3. Step 3: Cross multiply
    6,402.90x = 9,603.63 × 2,506.26
  4. Step 4: Simplify right side
    6,402.90x = 24,069,193.72
  5. Step 5: Solve for x
    x = 24,069,193.72/6,402.90
  6. Step 6: Final answer
    x = 3,759.11

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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.