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Finding the Fourth Proportional to 9,515.04, 13,131.28 and 5,324

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Solution

The fourth proportional to 9,515.04, 13,131.28 and 5,324 is: 7,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.04 : 13,131.28 = 5,324 : x
  2. Step 2: Convert to fraction form
    9,515.04/13,131.28 = 5,324/x
  3. Step 3: Cross multiply
    9,515.04x = 13,131.28 × 5,324
  4. Step 4: Simplify right side
    9,515.04x = 69,910,934.72
  5. Step 5: Solve for x
    x = 69,910,934.72/9,515.04
  6. Step 6: Final answer
    x = 7,347.41

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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.