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Finding the Fourth Proportional to 9,488.61, 13,095.27 and 5,296.86

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Solution

The fourth proportional to 9,488.61, 13,095.27 and 5,296.86 is: 7,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.61 : 13,095.27 = 5,296.86 : x
  2. Step 2: Convert to fraction form
    9,488.61/13,095.27 = 5,296.86/x
  3. Step 3: Cross multiply
    9,488.61x = 13,095.27 × 5,296.86
  4. Step 4: Simplify right side
    9,488.61x = 69,363,811.85
  5. Step 5: Solve for x
    x = 69,363,811.85/9,488.61
  6. Step 6: Final answer
    x = 7,310.22

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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.