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Finding the Fourth Proportional to 7,088.65, 9,782.09 and 3,944.77

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Solution

The fourth proportional to 7,088.65, 9,782.09 and 3,944.77 is: 5,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.65 : 9,782.09 = 3,944.77 : x
  2. Step 2: Convert to fraction form
    7,088.65/9,782.09 = 3,944.77/x
  3. Step 3: Cross multiply
    7,088.65x = 9,782.09 × 3,944.77
  4. Step 4: Simplify right side
    7,088.65x = 38,588,095.17
  5. Step 5: Solve for x
    x = 38,588,095.17/7,088.65
  6. Step 6: Final answer
    x = 5,443.65

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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.