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Finding the Fourth Proportional to 9,271.08, 13,908.78 and 5,378.76

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Solution

The fourth proportional to 9,271.08, 13,908.78 and 5,378.76 is: 8,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.08 : 13,908.78 = 5,378.76 : x
  2. Step 2: Convert to fraction form
    9,271.08/13,908.78 = 5,378.76/x
  3. Step 3: Cross multiply
    9,271.08x = 13,908.78 × 5,378.76
  4. Step 4: Simplify right side
    9,271.08x = 74,811,989.51
  5. Step 5: Solve for x
    x = 74,811,989.51/9,271.08
  6. Step 6: Final answer
    x = 8,069.39

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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.