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Finding the Fourth Proportional to 9,816.67, 14,720.59 and 3,151.93

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Solution

The fourth proportional to 9,816.67, 14,720.59 and 3,151.93 is: 4,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.67 : 14,720.59 = 3,151.93 : x
  2. Step 2: Convert to fraction form
    9,816.67/14,720.59 = 3,151.93/x
  3. Step 3: Cross multiply
    9,816.67x = 14,720.59 × 3,151.93
  4. Step 4: Simplify right side
    9,816.67x = 46,398,269.24
  5. Step 5: Solve for x
    x = 46,398,269.24/9,816.67
  6. Step 6: Final answer
    x = 4,726.48

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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.