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Finding the Fourth Proportional to 9,811.13, 14,716.56 and 2,415.65

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Solution

The fourth proportional to 9,811.13, 14,716.56 and 2,415.65 is: 3,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 14,716.56 = 2,415.65 : x
  2. Step 2: Convert to fraction form
    9,811.13/14,716.56 = 2,415.65/x
  3. Step 3: Cross multiply
    9,811.13x = 14,716.56 × 2,415.65
  4. Step 4: Simplify right side
    9,811.13x = 35,550,058.16
  5. Step 5: Solve for x
    x = 35,550,058.16/9,811.13
  6. Step 6: Final answer
    x = 3,623.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.