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Finding the Fourth Proportional to 9,700.08, 14,554.44 and 5,082

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Solution

The fourth proportional to 9,700.08, 14,554.44 and 5,082 is: 7,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.08 : 14,554.44 = 5,082 : x
  2. Step 2: Convert to fraction form
    9,700.08/14,554.44 = 5,082/x
  3. Step 3: Cross multiply
    9,700.08x = 14,554.44 × 5,082
  4. Step 4: Simplify right side
    9,700.08x = 73,965,664.08
  5. Step 5: Solve for x
    x = 73,965,664.08/9,700.08
  6. Step 6: Final answer
    x = 7,625.26

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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.