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Finding the Fourth Proportional to 9,499.95, 13,111.73 and 6,264.07

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Solution

The fourth proportional to 9,499.95, 13,111.73 and 6,264.07 is: 8,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.95 : 13,111.73 = 6,264.07 : x
  2. Step 2: Convert to fraction form
    9,499.95/13,111.73 = 6,264.07/x
  3. Step 3: Cross multiply
    9,499.95x = 13,111.73 × 6,264.07
  4. Step 4: Simplify right side
    9,499.95x = 82,132,794.54
  5. Step 5: Solve for x
    x = 82,132,794.54/9,499.95
  6. Step 6: Final answer
    x = 8,645.61

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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.