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Finding the Fourth Proportional to 9,288.06, 13,981.97 and 8,335.50

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Solution

The fourth proportional to 9,288.06, 13,981.97 and 8,335.50 is: 12,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.06 : 13,981.97 = 8,335.50 : x
  2. Step 2: Convert to fraction form
    9,288.06/13,981.97 = 8,335.50/x
  3. Step 3: Cross multiply
    9,288.06x = 13,981.97 × 8,335.50
  4. Step 4: Simplify right side
    9,288.06x = 116,546,669.26
  5. Step 5: Solve for x
    x = 116,546,669.26/9,288.06
  6. Step 6: Final answer
    x = 12,548.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.