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Finding the Fourth Proportional to 6,995.62, 9,653.63 and 4,009.35

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Solution

The fourth proportional to 6,995.62, 9,653.63 and 4,009.35 is: 5,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.62 : 9,653.63 = 4,009.35 : x
  2. Step 2: Convert to fraction form
    6,995.62/9,653.63 = 4,009.35/x
  3. Step 3: Cross multiply
    6,995.62x = 9,653.63 × 4,009.35
  4. Step 4: Simplify right side
    6,995.62x = 38,704,765.85
  5. Step 5: Solve for x
    x = 38,704,765.85/6,995.62
  6. Step 6: Final answer
    x = 5,532.72

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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.