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Finding the Fourth Proportional to 9,812.22, 14,681.96 and 5,865.66

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Solution

The fourth proportional to 9,812.22, 14,681.96 and 5,865.66 is: 8,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.22 : 14,681.96 = 5,865.66 : x
  2. Step 2: Convert to fraction form
    9,812.22/14,681.96 = 5,865.66/x
  3. Step 3: Cross multiply
    9,812.22x = 14,681.96 × 5,865.66
  4. Step 4: Simplify right side
    9,812.22x = 86,119,378.16
  5. Step 5: Solve for x
    x = 86,119,378.16/9,812.22
  6. Step 6: Final answer
    x = 8,776.75

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Why These Related Problems?

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