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Finding the Fourth Proportional to 9,700.70, 14,541.66 and 3,122.42

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Solution

The fourth proportional to 9,700.70, 14,541.66 and 3,122.42 is: 4,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.70 : 14,541.66 = 3,122.42 : x
  2. Step 2: Convert to fraction form
    9,700.70/14,541.66 = 3,122.42/x
  3. Step 3: Cross multiply
    9,700.70x = 14,541.66 × 3,122.42
  4. Step 4: Simplify right side
    9,700.70x = 45,405,097.31
  5. Step 5: Solve for x
    x = 45,405,097.31/9,700.70
  6. Step 6: Final answer
    x = 4,680.60

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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.