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Finding the Fourth Proportional to 6,570.12, 9,066.83 and 3,585.98

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Solution

The fourth proportional to 6,570.12, 9,066.83 and 3,585.98 is: 4,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.12 : 9,066.83 = 3,585.98 : x
  2. Step 2: Convert to fraction form
    6,570.12/9,066.83 = 3,585.98/x
  3. Step 3: Cross multiply
    6,570.12x = 9,066.83 × 3,585.98
  4. Step 4: Simplify right side
    6,570.12x = 32,513,475.78
  5. Step 5: Solve for x
    x = 32,513,475.78/6,570.12
  6. Step 6: Final answer
    x = 4,948.69

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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.