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Finding the Fourth Proportional to 9,732.76, 13,430.44 and 6,370.26

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Solution

The fourth proportional to 9,732.76, 13,430.44 and 6,370.26 is: 8,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.76 : 13,430.44 = 6,370.26 : x
  2. Step 2: Convert to fraction form
    9,732.76/13,430.44 = 6,370.26/x
  3. Step 3: Cross multiply
    9,732.76x = 13,430.44 × 6,370.26
  4. Step 4: Simplify right side
    9,732.76x = 85,555,394.71
  5. Step 5: Solve for x
    x = 85,555,394.71/9,732.76
  6. Step 6: Final answer
    x = 8,790.46

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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.