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Finding the Fourth Proportional to 9,539.02, 13,163.88 and 5,347

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Solution

The fourth proportional to 9,539.02, 13,163.88 and 5,347 is: 7,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.02 : 13,163.88 = 5,347 : x
  2. Step 2: Convert to fraction form
    9,539.02/13,163.88 = 5,347/x
  3. Step 3: Cross multiply
    9,539.02x = 13,163.88 × 5,347
  4. Step 4: Simplify right side
    9,539.02x = 70,387,266.36
  5. Step 5: Solve for x
    x = 70,387,266.36/9,539.02
  6. Step 6: Final answer
    x = 7,378.88

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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.