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Finding the Fourth Proportional to 9,853.05, 13,594.05 and 7,020.90

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Solution

The fourth proportional to 9,853.05, 13,594.05 and 7,020.90 is: 9,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.05 : 13,594.05 = 7,020.90 : x
  2. Step 2: Convert to fraction form
    9,853.05/13,594.05 = 7,020.90/x
  3. Step 3: Cross multiply
    9,853.05x = 13,594.05 × 7,020.90
  4. Step 4: Simplify right side
    9,853.05x = 95,442,465.65
  5. Step 5: Solve for x
    x = 95,442,465.65/9,853.05
  6. Step 6: Final answer
    x = 9,686.59

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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.