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Finding the Fourth Proportional to 9,700.49, 14,557.97 and 7,207.43

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Solution

The fourth proportional to 9,700.49, 14,557.97 and 7,207.43 is: 10,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.49 : 14,557.97 = 7,207.43 : x
  2. Step 2: Convert to fraction form
    9,700.49/14,557.97 = 7,207.43/x
  3. Step 3: Cross multiply
    9,700.49x = 14,557.97 × 7,207.43
  4. Step 4: Simplify right side
    9,700.49x = 104,925,494.95
  5. Step 5: Solve for x
    x = 104,925,494.95/9,700.49
  6. Step 6: Final answer
    x = 10,816.51

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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.