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Finding the Fourth Proportional to 9,536.72, 14,302.43 and 5,314.78

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Solution

The fourth proportional to 9,536.72, 14,302.43 and 5,314.78 is: 7,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.72 : 14,302.43 = 5,314.78 : x
  2. Step 2: Convert to fraction form
    9,536.72/14,302.43 = 5,314.78/x
  3. Step 3: Cross multiply
    9,536.72x = 14,302.43 × 5,314.78
  4. Step 4: Simplify right side
    9,536.72x = 76,014,206.59
  5. Step 5: Solve for x
    x = 76,014,206.59/9,536.72
  6. Step 6: Final answer
    x = 7,970.68

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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.