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Finding the Fourth Proportional to 9,743.77, 14,617.07 and 3,078.01

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Solution

The fourth proportional to 9,743.77, 14,617.07 and 3,078.01 is: 4,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.77 : 14,617.07 = 3,078.01 : x
  2. Step 2: Convert to fraction form
    9,743.77/14,617.07 = 3,078.01/x
  3. Step 3: Cross multiply
    9,743.77x = 14,617.07 × 3,078.01
  4. Step 4: Simplify right side
    9,743.77x = 44,991,487.63
  5. Step 5: Solve for x
    x = 44,991,487.63/9,743.77
  6. Step 6: Final answer
    x = 4,617.46

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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.