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Finding the Fourth Proportional to 9,647.22, 13,301.49 and 8,152.50

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Solution

The fourth proportional to 9,647.22, 13,301.49 and 8,152.50 is: 11,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.22 : 13,301.49 = 8,152.50 : x
  2. Step 2: Convert to fraction form
    9,647.22/13,301.49 = 8,152.50/x
  3. Step 3: Cross multiply
    9,647.22x = 13,301.49 × 8,152.50
  4. Step 4: Simplify right side
    9,647.22x = 108,440,397.23
  5. Step 5: Solve for x
    x = 108,440,397.23/9,647.22
  6. Step 6: Final answer
    x = 11,240.59

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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.