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Finding the Fourth Proportional to 9,498.11, 13,111.05 and 8,501.63

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Solution

The fourth proportional to 9,498.11, 13,111.05 and 8,501.63 is: 11,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.11 : 13,111.05 = 8,501.63 : x
  2. Step 2: Convert to fraction form
    9,498.11/13,111.05 = 8,501.63/x
  3. Step 3: Cross multiply
    9,498.11x = 13,111.05 × 8,501.63
  4. Step 4: Simplify right side
    9,498.11x = 111,465,296.01
  5. Step 5: Solve for x
    x = 111,465,296.01/9,498.11
  6. Step 6: Final answer
    x = 11,735.52

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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.