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Finding the Fourth Proportional to 9,902.25, 13,665.11 and 5,712.93

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Solution

The fourth proportional to 9,902.25, 13,665.11 and 5,712.93 is: 7,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.25 : 13,665.11 = 5,712.93 : x
  2. Step 2: Convert to fraction form
    9,902.25/13,665.11 = 5,712.93/x
  3. Step 3: Cross multiply
    9,902.25x = 13,665.11 × 5,712.93
  4. Step 4: Simplify right side
    9,902.25x = 78,067,788.31
  5. Step 5: Solve for x
    x = 78,067,788.31/9,902.25
  6. Step 6: Final answer
    x = 7,883.84

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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.