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Finding the Fourth Proportional to 9,765.16, 13,475.99 and 5,288.95

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Solution

The fourth proportional to 9,765.16, 13,475.99 and 5,288.95 is: 7,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.16 : 13,475.99 = 5,288.95 : x
  2. Step 2: Convert to fraction form
    9,765.16/13,475.99 = 5,288.95/x
  3. Step 3: Cross multiply
    9,765.16x = 13,475.99 × 5,288.95
  4. Step 4: Simplify right side
    9,765.16x = 71,273,837.31
  5. Step 5: Solve for x
    x = 71,273,837.31/9,765.16
  6. Step 6: Final answer
    x = 7,298.79

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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.