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Finding the Fourth Proportional to 9,614.60, 14,415.08 and 4,274.85

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Solution

The fourth proportional to 9,614.60, 14,415.08 and 4,274.85 is: 6,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.60 : 14,415.08 = 4,274.85 : x
  2. Step 2: Convert to fraction form
    9,614.60/14,415.08 = 4,274.85/x
  3. Step 3: Cross multiply
    9,614.60x = 14,415.08 × 4,274.85
  4. Step 4: Simplify right side
    9,614.60x = 61,622,283.36
  5. Step 5: Solve for x
    x = 61,622,283.36/9,614.60
  6. Step 6: Final answer
    x = 6,409.24

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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.