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Finding the Fourth Proportional to 9,477.36, 14,197 and 4,719.18

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Solution

The fourth proportional to 9,477.36, 14,197 and 4,719.18 is: 7,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.36 : 14,197 = 4,719.18 : x
  2. Step 2: Convert to fraction form
    9,477.36/14,197 = 4,719.18/x
  3. Step 3: Cross multiply
    9,477.36x = 14,197 × 4,719.18
  4. Step 4: Simplify right side
    9,477.36x = 66,998,198.46
  5. Step 5: Solve for x
    x = 66,998,198.46/9,477.36
  6. Step 6: Final answer
    x = 7,069.29

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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.