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Finding the Fourth Proportional to 9,871.74, 14,813.46 and 4,325.94

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Solution

The fourth proportional to 9,871.74, 14,813.46 and 4,325.94 is: 6,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.74 : 14,813.46 = 4,325.94 : x
  2. Step 2: Convert to fraction form
    9,871.74/14,813.46 = 4,325.94/x
  3. Step 3: Cross multiply
    9,871.74x = 14,813.46 × 4,325.94
  4. Step 4: Simplify right side
    9,871.74x = 64,082,139.15
  5. Step 5: Solve for x
    x = 64,082,139.15/9,871.74
  6. Step 6: Final answer
    x = 6,491.47

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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.