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Finding the Fourth Proportional to 9,145.64, 13,719 and 2,572.34

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Solution

The fourth proportional to 9,145.64, 13,719 and 2,572.34 is: 3,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.64 : 13,719 = 2,572.34 : x
  2. Step 2: Convert to fraction form
    9,145.64/13,719 = 2,572.34/x
  3. Step 3: Cross multiply
    9,145.64x = 13,719 × 2,572.34
  4. Step 4: Simplify right side
    9,145.64x = 35,289,932.46
  5. Step 5: Solve for x
    x = 35,289,932.46/9,145.64
  6. Step 6: Final answer
    x = 3,858.66

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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.