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Finding the Fourth Proportional to 6,565.37, 9,852.59 and 2,616.24

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Solution

The fourth proportional to 6,565.37, 9,852.59 and 2,616.24 is: 3,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.37 : 9,852.59 = 2,616.24 : x
  2. Step 2: Convert to fraction form
    6,565.37/9,852.59 = 2,616.24/x
  3. Step 3: Cross multiply
    6,565.37x = 9,852.59 × 2,616.24
  4. Step 4: Simplify right side
    6,565.37x = 25,776,740.06
  5. Step 5: Solve for x
    x = 25,776,740.06/6,565.37
  6. Step 6: Final answer
    x = 3,926.17

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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.