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Finding the Fourth Proportional to 9,897.72, 14,848.50 and 3,236.10

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Solution

The fourth proportional to 9,897.72, 14,848.50 and 3,236.10 is: 4,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.72 : 14,848.50 = 3,236.10 : x
  2. Step 2: Convert to fraction form
    9,897.72/14,848.50 = 3,236.10/x
  3. Step 3: Cross multiply
    9,897.72x = 14,848.50 × 3,236.10
  4. Step 4: Simplify right side
    9,897.72x = 48,051,230.85
  5. Step 5: Solve for x
    x = 48,051,230.85/9,897.72
  6. Step 6: Final answer
    x = 4,854.78

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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.