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Finding the Fourth Proportional to 9,897.66, 14,846.59 and 2,502.12

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Solution

The fourth proportional to 9,897.66, 14,846.59 and 2,502.12 is: 3,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.66 : 14,846.59 = 2,502.12 : x
  2. Step 2: Convert to fraction form
    9,897.66/14,846.59 = 2,502.12/x
  3. Step 3: Cross multiply
    9,897.66x = 14,846.59 × 2,502.12
  4. Step 4: Simplify right side
    9,897.66x = 37,147,949.77
  5. Step 5: Solve for x
    x = 37,147,949.77/9,897.66
  6. Step 6: Final answer
    x = 3,753.21

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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.