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Finding the Fourth Proportional to 7,078.19, 9,769.07 and 4,095.77

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Solution

The fourth proportional to 7,078.19, 9,769.07 and 4,095.77 is: 5,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.19 : 9,769.07 = 4,095.77 : x
  2. Step 2: Convert to fraction form
    7,078.19/9,769.07 = 4,095.77/x
  3. Step 3: Cross multiply
    7,078.19x = 9,769.07 × 4,095.77
  4. Step 4: Simplify right side
    7,078.19x = 40,011,825.23
  5. Step 5: Solve for x
    x = 40,011,825.23/7,078.19
  6. Step 6: Final answer
    x = 5,652.84

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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.