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Finding the Fourth Proportional to 9,765.00, 13,475.70 and 5,288.75

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Solution

The fourth proportional to 9,765.00, 13,475.70 and 5,288.75 is: 7,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.00 : 13,475.70 = 5,288.75 : x
  2. Step 2: Convert to fraction form
    9,765.00/13,475.70 = 5,288.75/x
  3. Step 3: Cross multiply
    9,765.00x = 13,475.70 × 5,288.75
  4. Step 4: Simplify right side
    9,765.00x = 71,269,646.43
  5. Step 5: Solve for x
    x = 71,269,646.43/9,765.00
  6. Step 6: Final answer
    x = 7,298.48

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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.