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Finding the Fourth Proportional to 9,817.36, 14,726.17 and 2,421.80

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Solution

The fourth proportional to 9,817.36, 14,726.17 and 2,421.80 is: 3,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.36 : 14,726.17 = 2,421.80 : x
  2. Step 2: Convert to fraction form
    9,817.36/14,726.17 = 2,421.80/x
  3. Step 3: Cross multiply
    9,817.36x = 14,726.17 × 2,421.80
  4. Step 4: Simplify right side
    9,817.36x = 35,663,838.51
  5. Step 5: Solve for x
    x = 35,663,838.51/9,817.36
  6. Step 6: Final answer
    x = 3,632.73

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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.