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Finding the Fourth Proportional to 7,089.85, 9,785.76 and 4,105.28

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Solution

The fourth proportional to 7,089.85, 9,785.76 and 4,105.28 is: 5,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.85 : 9,785.76 = 4,105.28 : x
  2. Step 2: Convert to fraction form
    7,089.85/9,785.76 = 4,105.28/x
  3. Step 3: Cross multiply
    7,089.85x = 9,785.76 × 4,105.28
  4. Step 4: Simplify right side
    7,089.85x = 40,173,316.97
  5. Step 5: Solve for x
    x = 40,173,316.97/7,089.85
  6. Step 6: Final answer
    x = 5,666.31

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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.