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Finding the Fourth Proportional to 7,074.01, 9,739.83 and 6,417.91

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Solution

The fourth proportional to 7,074.01, 9,739.83 and 6,417.91 is: 8,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.01 : 9,739.83 = 6,417.91 : x
  2. Step 2: Convert to fraction form
    7,074.01/9,739.83 = 6,417.91/x
  3. Step 3: Cross multiply
    7,074.01x = 9,739.83 × 6,417.91
  4. Step 4: Simplify right side
    7,074.01x = 62,509,352.36
  5. Step 5: Solve for x
    x = 62,509,352.36/7,074.01
  6. Step 6: Final answer
    x = 8,836.48

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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.