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Finding the Fourth Proportional to 6,988.34, 9,643.93 and 3,801.63

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Solution

The fourth proportional to 6,988.34, 9,643.93 and 3,801.63 is: 5,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.34 : 9,643.93 = 3,801.63 : x
  2. Step 2: Convert to fraction form
    6,988.34/9,643.93 = 3,801.63/x
  3. Step 3: Cross multiply
    6,988.34x = 9,643.93 × 3,801.63
  4. Step 4: Simplify right side
    6,988.34x = 36,662,644.10
  5. Step 5: Solve for x
    x = 36,662,644.10/6,988.34
  6. Step 6: Final answer
    x = 5,246.26

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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.