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Finding the Fourth Proportional to 9,870.26, 13,613.28 and 5,890.52

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Solution

The fourth proportional to 9,870.26, 13,613.28 and 5,890.52 is: 8,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.26 : 13,613.28 = 5,890.52 : x
  2. Step 2: Convert to fraction form
    9,870.26/13,613.28 = 5,890.52/x
  3. Step 3: Cross multiply
    9,870.26x = 13,613.28 × 5,890.52
  4. Step 4: Simplify right side
    9,870.26x = 80,189,298.11
  5. Step 5: Solve for x
    x = 80,189,298.11/9,870.26
  6. Step 6: Final answer
    x = 8,124.33

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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.