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Finding the Fourth Proportional to 9,564.68, 14,347.63 and 2,544.58

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Solution

The fourth proportional to 9,564.68, 14,347.63 and 2,544.58 is: 3,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.68 : 14,347.63 = 2,544.58 : x
  2. Step 2: Convert to fraction form
    9,564.68/14,347.63 = 2,544.58/x
  3. Step 3: Cross multiply
    9,564.68x = 14,347.63 × 2,544.58
  4. Step 4: Simplify right side
    9,564.68x = 36,508,713.46
  5. Step 5: Solve for x
    x = 36,508,713.46/9,564.68
  6. Step 6: Final answer
    x = 3,817.03

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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.