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Finding the Fourth Proportional to 9,897.26, 14,848.14 and 3,234.12

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Solution

The fourth proportional to 9,897.26, 14,848.14 and 3,234.12 is: 4,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.26 : 14,848.14 = 3,234.12 : x
  2. Step 2: Convert to fraction form
    9,897.26/14,848.14 = 3,234.12/x
  3. Step 3: Cross multiply
    9,897.26x = 14,848.14 × 3,234.12
  4. Step 4: Simplify right side
    9,897.26x = 48,020,666.54
  5. Step 5: Solve for x
    x = 48,020,666.54/9,897.26
  6. Step 6: Final answer
    x = 4,851.92

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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.