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Finding the Fourth Proportional to 9,116.14, 12,580.93 and 5,083.24

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Solution

The fourth proportional to 9,116.14, 12,580.93 and 5,083.24 is: 7,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.14 : 12,580.93 = 5,083.24 : x
  2. Step 2: Convert to fraction form
    9,116.14/12,580.93 = 5,083.24/x
  3. Step 3: Cross multiply
    9,116.14x = 12,580.93 × 5,083.24
  4. Step 4: Simplify right side
    9,116.14x = 63,951,823.71
  5. Step 5: Solve for x
    x = 63,951,823.71/9,116.14
  6. Step 6: Final answer
    x = 7,015.23

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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.