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Finding the Fourth Proportional to 9,376.36, 12,904.86 and 8,035

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Solution

The fourth proportional to 9,376.36, 12,904.86 and 8,035 is: 11,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.36 : 12,904.86 = 8,035 : x
  2. Step 2: Convert to fraction form
    9,376.36/12,904.86 = 8,035/x
  3. Step 3: Cross multiply
    9,376.36x = 12,904.86 × 8,035
  4. Step 4: Simplify right side
    9,376.36x = 103,690,550.10
  5. Step 5: Solve for x
    x = 103,690,550.10/9,376.36
  6. Step 6: Final answer
    x = 11,058.72

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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.