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Finding the Fourth Proportional to 6,570.93, 9,852.77 and 2,186.00

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Solution

The fourth proportional to 6,570.93, 9,852.77 and 2,186.00 is: 3,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.93 : 9,852.77 = 2,186.00 : x
  2. Step 2: Convert to fraction form
    6,570.93/9,852.77 = 2,186.00/x
  3. Step 3: Cross multiply
    6,570.93x = 9,852.77 × 2,186.00
  4. Step 4: Simplify right side
    6,570.93x = 21,538,095.03
  5. Step 5: Solve for x
    x = 21,538,095.03/6,570.93
  6. Step 6: Final answer
    x = 3,277.78

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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.