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Finding the Fourth Proportional to 9,745.90, 13,440.51 and 6,387.50

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Solution

The fourth proportional to 9,745.90, 13,440.51 and 6,387.50 is: 8,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.90 : 13,440.51 = 6,387.50 : x
  2. Step 2: Convert to fraction form
    9,745.90/13,440.51 = 6,387.50/x
  3. Step 3: Cross multiply
    9,745.90x = 13,440.51 × 6,387.50
  4. Step 4: Simplify right side
    9,745.90x = 85,851,257.63
  5. Step 5: Solve for x
    x = 85,851,257.63/9,745.90
  6. Step 6: Final answer
    x = 8,808.96

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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.