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Finding the Fourth Proportional to 9,445.77, 14,166.63 and 3,897.68

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Solution

The fourth proportional to 9,445.77, 14,166.63 and 3,897.68 is: 5,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.77 : 14,166.63 = 3,897.68 : x
  2. Step 2: Convert to fraction form
    9,445.77/14,166.63 = 3,897.68/x
  3. Step 3: Cross multiply
    9,445.77x = 14,166.63 × 3,897.68
  4. Step 4: Simplify right side
    9,445.77x = 55,216,919.59
  5. Step 5: Solve for x
    x = 55,216,919.59/9,445.77
  6. Step 6: Final answer
    x = 5,845.68

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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.