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Finding the Fourth Proportional to 9,463.76, 14,193.81 and 3,618.98

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Solution

The fourth proportional to 9,463.76, 14,193.81 and 3,618.98 is: 5,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.76 : 14,193.81 = 3,618.98 : x
  2. Step 2: Convert to fraction form
    9,463.76/14,193.81 = 3,618.98/x
  3. Step 3: Cross multiply
    9,463.76x = 14,193.81 × 3,618.98
  4. Step 4: Simplify right side
    9,463.76x = 51,367,114.51
  5. Step 5: Solve for x
    x = 51,367,114.51/9,463.76
  6. Step 6: Final answer
    x = 5,427.77

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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.