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Finding the Fourth Proportional to 9,534.30, 14,298.44 and 3,986.50

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Solution

The fourth proportional to 9,534.30, 14,298.44 and 3,986.50 is: 5,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.30 : 14,298.44 = 3,986.50 : x
  2. Step 2: Convert to fraction form
    9,534.30/14,298.44 = 3,986.50/x
  3. Step 3: Cross multiply
    9,534.30x = 14,298.44 × 3,986.50
  4. Step 4: Simplify right side
    9,534.30x = 57,000,731.06
  5. Step 5: Solve for x
    x = 57,000,731.06/9,534.30
  6. Step 6: Final answer
    x = 5,978.49

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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.