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Finding the Fourth Proportional to 6,930.63, 9,565.25 and 4,411.94

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Solution

The fourth proportional to 6,930.63, 9,565.25 and 4,411.94 is: 6,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.63 : 9,565.25 = 4,411.94 : x
  2. Step 2: Convert to fraction form
    6,930.63/9,565.25 = 4,411.94/x
  3. Step 3: Cross multiply
    6,930.63x = 9,565.25 × 4,411.94
  4. Step 4: Simplify right side
    6,930.63x = 42,201,239.20
  5. Step 5: Solve for x
    x = 42,201,239.20/6,930.63
  6. Step 6: Final answer
    x = 6,089.09

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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.