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Finding the Fourth Proportional to 9,534.01, 14,296.14 and 3,985.84

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Solution

The fourth proportional to 9,534.01, 14,296.14 and 3,985.84 is: 5,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.01 : 14,296.14 = 3,985.84 : x
  2. Step 2: Convert to fraction form
    9,534.01/14,296.14 = 3,985.84/x
  3. Step 3: Cross multiply
    9,534.01x = 14,296.14 × 3,985.84
  4. Step 4: Simplify right side
    9,534.01x = 56,982,126.66
  5. Step 5: Solve for x
    x = 56,982,126.66/9,534.01
  6. Step 6: Final answer
    x = 5,976.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.