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Finding the Fourth Proportional to 9,578.31, 14,398.21 and 8,893.50

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Solution

The fourth proportional to 9,578.31, 14,398.21 and 8,893.50 is: 13,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.31 : 14,398.21 = 8,893.50 : x
  2. Step 2: Convert to fraction form
    9,578.31/14,398.21 = 8,893.50/x
  3. Step 3: Cross multiply
    9,578.31x = 14,398.21 × 8,893.50
  4. Step 4: Simplify right side
    9,578.31x = 128,050,480.64
  5. Step 5: Solve for x
    x = 128,050,480.64/9,578.31
  6. Step 6: Final answer
    x = 13,368.80

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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.