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Finding the Fourth Proportional to 9,813.96, 14,712.44 and 3,966.77

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Solution

The fourth proportional to 9,813.96, 14,712.44 and 3,966.77 is: 5,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.96 : 14,712.44 = 3,966.77 : x
  2. Step 2: Convert to fraction form
    9,813.96/14,712.44 = 3,966.77/x
  3. Step 3: Cross multiply
    9,813.96x = 14,712.44 × 3,966.77
  4. Step 4: Simplify right side
    9,813.96x = 58,360,882.57
  5. Step 5: Solve for x
    x = 58,360,882.57/9,813.96
  6. Step 6: Final answer
    x = 5,946.72

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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.