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Finding the Fourth Proportional to 9,700.94, 14,551.40 and 3,127.25

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Solution

The fourth proportional to 9,700.94, 14,551.40 and 3,127.25 is: 4,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.94 : 14,551.40 = 3,127.25 : x
  2. Step 2: Convert to fraction form
    9,700.94/14,551.40 = 3,127.25/x
  3. Step 3: Cross multiply
    9,700.94x = 14,551.40 × 3,127.25
  4. Step 4: Simplify right side
    9,700.94x = 45,505,865.65
  5. Step 5: Solve for x
    x = 45,505,865.65/9,700.94
  6. Step 6: Final answer
    x = 4,690.87

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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.