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Finding the Fourth Proportional to 34,715.12, 52,072.34 and 9,762.12

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Solution

The fourth proportional to 34,715.12, 52,072.34 and 9,762.12 is: 14,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.12 : 52,072.34 = 9,762.12 : x
  2. Step 2: Convert to fraction form
    34,715.12/52,072.34 = 9,762.12/x
  3. Step 3: Cross multiply
    34,715.12x = 52,072.34 × 9,762.12
  4. Step 4: Simplify right side
    34,715.12x = 508,336,382.95
  5. Step 5: Solve for x
    x = 508,336,382.95/34,715.12
  6. Step 6: Final answer
    x = 14,643.09

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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.