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Finding the Fourth Proportional to 9,897.44, 14,850.54 and 5,216.30

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Solution

The fourth proportional to 9,897.44, 14,850.54 and 5,216.30 is: 7,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.44 : 14,850.54 = 5,216.30 : x
  2. Step 2: Convert to fraction form
    9,897.44/14,850.54 = 5,216.30/x
  3. Step 3: Cross multiply
    9,897.44x = 14,850.54 × 5,216.30
  4. Step 4: Simplify right side
    9,897.44x = 77,464,871.80
  5. Step 5: Solve for x
    x = 77,464,871.80/9,897.44
  6. Step 6: Final answer
    x = 7,826.76

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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.