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Finding the Fourth Proportional to 9,765.27, 13,476.03 and 5,288.91

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Solution

The fourth proportional to 9,765.27, 13,476.03 and 5,288.91 is: 7,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.27 : 13,476.03 = 5,288.91 : x
  2. Step 2: Convert to fraction form
    9,765.27/13,476.03 = 5,288.91/x
  3. Step 3: Cross multiply
    9,765.27x = 13,476.03 × 5,288.91
  4. Step 4: Simplify right side
    9,765.27x = 71,273,509.83
  5. Step 5: Solve for x
    x = 71,273,509.83/9,765.27
  6. Step 6: Final answer
    x = 7,298.67

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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.