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Finding the Fourth Proportional to 6,691.68, 9,235.62 and 5,570.91

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Solution

The fourth proportional to 6,691.68, 9,235.62 and 5,570.91 is: 7,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.68 : 9,235.62 = 5,570.91 : x
  2. Step 2: Convert to fraction form
    6,691.68/9,235.62 = 5,570.91/x
  3. Step 3: Cross multiply
    6,691.68x = 9,235.62 × 5,570.91
  4. Step 4: Simplify right side
    6,691.68x = 51,450,807.81
  5. Step 5: Solve for x
    x = 51,450,807.81/6,691.68
  6. Step 6: Final answer
    x = 7,688.77

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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.