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Finding the Fourth Proportional to 9,421.93, 14,099.82 and 8,889.13

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Solution

The fourth proportional to 9,421.93, 14,099.82 and 8,889.13 is: 13,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.93 : 14,099.82 = 8,889.13 : x
  2. Step 2: Convert to fraction form
    9,421.93/14,099.82 = 8,889.13/x
  3. Step 3: Cross multiply
    9,421.93x = 14,099.82 × 8,889.13
  4. Step 4: Simplify right side
    9,421.93x = 125,335,132.96
  5. Step 5: Solve for x
    x = 125,335,132.96/9,421.93
  6. Step 6: Final answer
    x = 13,302.49

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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.