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Finding the Fourth Proportional to 9,474.96, 13,079.64 and 5,698.74

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Solution

The fourth proportional to 9,474.96, 13,079.64 and 5,698.74 is: 7,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.96 : 13,079.64 = 5,698.74 : x
  2. Step 2: Convert to fraction form
    9,474.96/13,079.64 = 5,698.74/x
  3. Step 3: Cross multiply
    9,474.96x = 13,079.64 × 5,698.74
  4. Step 4: Simplify right side
    9,474.96x = 74,537,467.65
  5. Step 5: Solve for x
    x = 74,537,467.65/9,474.96
  6. Step 6: Final answer
    x = 7,866.78

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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.