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Finding the Fourth Proportional to 9,658.09, 14,405.93 and 8,772.22

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Solution

The fourth proportional to 9,658.09, 14,405.93 and 8,772.22 is: 13,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.09 : 14,405.93 = 8,772.22 : x
  2. Step 2: Convert to fraction form
    9,658.09/14,405.93 = 8,772.22/x
  3. Step 3: Cross multiply
    9,658.09x = 14,405.93 × 8,772.22
  4. Step 4: Simplify right side
    9,658.09x = 126,371,987.26
  5. Step 5: Solve for x
    x = 126,371,987.26/9,658.09
  6. Step 6: Final answer
    x = 13,084.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.