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Finding the Fourth Proportional to 9,897.08, 14,841.90 and 3,232.02

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Solution

The fourth proportional to 9,897.08, 14,841.90 and 3,232.02 is: 4,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.08 : 14,841.90 = 3,232.02 : x
  2. Step 2: Convert to fraction form
    9,897.08/14,841.90 = 3,232.02/x
  3. Step 3: Cross multiply
    9,897.08x = 14,841.90 × 3,232.02
  4. Step 4: Simplify right side
    9,897.08x = 47,969,317.64
  5. Step 5: Solve for x
    x = 47,969,317.64/9,897.08
  6. Step 6: Final answer
    x = 4,846.82

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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.