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Finding the Fourth Proportional to 9,026.66, 13,528.44 and 7,851.75

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Solution

The fourth proportional to 9,026.66, 13,528.44 and 7,851.75 is: 11,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.66 : 13,528.44 = 7,851.75 : x
  2. Step 2: Convert to fraction form
    9,026.66/13,528.44 = 7,851.75/x
  3. Step 3: Cross multiply
    9,026.66x = 13,528.44 × 7,851.75
  4. Step 4: Simplify right side
    9,026.66x = 106,221,928.77
  5. Step 5: Solve for x
    x = 106,221,928.77/9,026.66
  6. Step 6: Final answer
    x = 11,767.58

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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.