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Finding the Fourth Proportional to 9,962.74, 14,960.77 and 6,223.22

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Solution

The fourth proportional to 9,962.74, 14,960.77 and 6,223.22 is: 9,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.74 : 14,960.77 = 6,223.22 : x
  2. Step 2: Convert to fraction form
    9,962.74/14,960.77 = 6,223.22/x
  3. Step 3: Cross multiply
    9,962.74x = 14,960.77 × 6,223.22
  4. Step 4: Simplify right side
    9,962.74x = 93,104,057.16
  5. Step 5: Solve for x
    x = 93,104,057.16/9,962.74
  6. Step 6: Final answer
    x = 9,345.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.