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Finding the Fourth Proportional to 34,716.96, 52,069.76 and 9,758.72

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Solution

The fourth proportional to 34,716.96, 52,069.76 and 9,758.72 is: 14,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.96 : 52,069.76 = 9,758.72 : x
  2. Step 2: Convert to fraction form
    34,716.96/52,069.76 = 9,758.72/x
  3. Step 3: Cross multiply
    34,716.96x = 52,069.76 × 9,758.72
  4. Step 4: Simplify right side
    34,716.96x = 508,134,208.31
  5. Step 5: Solve for x
    x = 508,134,208.31/34,716.96
  6. Step 6: Final answer
    x = 14,636.48

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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.