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Finding the Fourth Proportional to 9,912.68, 14,844.72 and 4,706

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Solution

The fourth proportional to 9,912.68, 14,844.72 and 4,706 is: 7,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.68 : 14,844.72 = 4,706 : x
  2. Step 2: Convert to fraction form
    9,912.68/14,844.72 = 4,706/x
  3. Step 3: Cross multiply
    9,912.68x = 14,844.72 × 4,706
  4. Step 4: Simplify right side
    9,912.68x = 69,859,252.32
  5. Step 5: Solve for x
    x = 69,859,252.32/9,912.68
  6. Step 6: Final answer
    x = 7,047.46

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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.