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Finding the Fourth Proportional to 9,718.26, 13,397.61 and 8,220.16

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Solution

The fourth proportional to 9,718.26, 13,397.61 and 8,220.16 is: 11,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.26 : 13,397.61 = 8,220.16 : x
  2. Step 2: Convert to fraction form
    9,718.26/13,397.61 = 8,220.16/x
  3. Step 3: Cross multiply
    9,718.26x = 13,397.61 × 8,220.16
  4. Step 4: Simplify right side
    9,718.26x = 110,130,497.82
  5. Step 5: Solve for x
    x = 110,130,497.82/9,718.26
  6. Step 6: Final answer
    x = 11,332.33

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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.