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Finding the Fourth Proportional to 9,515.24, 13,129.86 and 5,323.40

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Solution

The fourth proportional to 9,515.24, 13,129.86 and 5,323.40 is: 7,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.24 : 13,129.86 = 5,323.40 : x
  2. Step 2: Convert to fraction form
    9,515.24/13,129.86 = 5,323.40/x
  3. Step 3: Cross multiply
    9,515.24x = 13,129.86 × 5,323.40
  4. Step 4: Simplify right side
    9,515.24x = 69,895,496.72
  5. Step 5: Solve for x
    x = 69,895,496.72/9,515.24
  6. Step 6: Final answer
    x = 7,345.64

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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.