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Finding the Fourth Proportional to 9,111.86, 12,574.60 and 5,133.12

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Solution

The fourth proportional to 9,111.86, 12,574.60 and 5,133.12 is: 7,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.86 : 12,574.60 = 5,133.12 : x
  2. Step 2: Convert to fraction form
    9,111.86/12,574.60 = 5,133.12/x
  3. Step 3: Cross multiply
    9,111.86x = 12,574.60 × 5,133.12
  4. Step 4: Simplify right side
    9,111.86x = 64,546,930.75
  5. Step 5: Solve for x
    x = 64,546,930.75/9,111.86
  6. Step 6: Final answer
    x = 7,083.84

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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.