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Finding the Fourth Proportional to 7,088.31, 9,786.83 and 4,737.29

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Solution

The fourth proportional to 7,088.31, 9,786.83 and 4,737.29 is: 6,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.31 : 9,786.83 = 4,737.29 : x
  2. Step 2: Convert to fraction form
    7,088.31/9,786.83 = 4,737.29/x
  3. Step 3: Cross multiply
    7,088.31x = 9,786.83 × 4,737.29
  4. Step 4: Simplify right side
    7,088.31x = 46,362,979.27
  5. Step 5: Solve for x
    x = 46,362,979.27/7,088.31
  6. Step 6: Final answer
    x = 6,540.77

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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.