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Finding the Fourth Proportional to 10,069.34, 13,854.99 and 9,811.76

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Solution

The fourth proportional to 10,069.34, 13,854.99 and 9,811.76 is: 13,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.34 : 13,854.99 = 9,811.76 : x
  2. Step 2: Convert to fraction form
    10,069.34/13,854.99 = 9,811.76/x
  3. Step 3: Cross multiply
    10,069.34x = 13,854.99 × 9,811.76
  4. Step 4: Simplify right side
    10,069.34x = 135,941,767.41
  5. Step 5: Solve for x
    x = 135,941,767.41/10,069.34
  6. Step 6: Final answer
    x = 13,500.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.