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Finding the Fourth Proportional to 6,509.00, 9,765.32 and 2,616.14

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Solution

The fourth proportional to 6,509.00, 9,765.32 and 2,616.14 is: 3,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.00 : 9,765.32 = 2,616.14 : x
  2. Step 2: Convert to fraction form
    6,509.00/9,765.32 = 2,616.14/x
  3. Step 3: Cross multiply
    6,509.00x = 9,765.32 × 2,616.14
  4. Step 4: Simplify right side
    6,509.00x = 25,547,382.36
  5. Step 5: Solve for x
    x = 25,547,382.36/6,509.00
  6. Step 6: Final answer
    x = 3,924.94

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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.