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Finding the Fourth Proportional to 10,078.06, 13,914.51 and 9,012.52

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Solution

The fourth proportional to 10,078.06, 13,914.51 and 9,012.52 is: 12,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.06 : 13,914.51 = 9,012.52 : x
  2. Step 2: Convert to fraction form
    10,078.06/13,914.51 = 9,012.52/x
  3. Step 3: Cross multiply
    10,078.06x = 13,914.51 × 9,012.52
  4. Step 4: Simplify right side
    10,078.06x = 125,404,799.67
  5. Step 5: Solve for x
    x = 125,404,799.67/10,078.06
  6. Step 6: Final answer
    x = 12,443.35

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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.