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Finding the Fourth Proportional to 6,863.34, 9,470.61 and 4,030.77

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Solution

The fourth proportional to 6,863.34, 9,470.61 and 4,030.77 is: 5,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.34 : 9,470.61 = 4,030.77 : x
  2. Step 2: Convert to fraction form
    6,863.34/9,470.61 = 4,030.77/x
  3. Step 3: Cross multiply
    6,863.34x = 9,470.61 × 4,030.77
  4. Step 4: Simplify right side
    6,863.34x = 38,173,850.67
  5. Step 5: Solve for x
    x = 38,173,850.67/6,863.34
  6. Step 6: Final answer
    x = 5,561.99

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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.