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Finding the Fourth Proportional to 9,415.24, 14,133.06 and 7,081.90

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Solution

The fourth proportional to 9,415.24, 14,133.06 and 7,081.90 is: 10,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.24 : 14,133.06 = 7,081.90 : x
  2. Step 2: Convert to fraction form
    9,415.24/14,133.06 = 7,081.90/x
  3. Step 3: Cross multiply
    9,415.24x = 14,133.06 × 7,081.90
  4. Step 4: Simplify right side
    9,415.24x = 100,088,917.61
  5. Step 5: Solve for x
    x = 100,088,917.61/9,415.24
  6. Step 6: Final answer
    x = 10,630.52

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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.