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Finding the Fourth Proportional to 9,487.13, 14,232.51 and 4,293

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Solution

The fourth proportional to 9,487.13, 14,232.51 and 4,293 is: 6,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.13 : 14,232.51 = 4,293 : x
  2. Step 2: Convert to fraction form
    9,487.13/14,232.51 = 4,293/x
  3. Step 3: Cross multiply
    9,487.13x = 14,232.51 × 4,293
  4. Step 4: Simplify right side
    9,487.13x = 61,100,165.43
  5. Step 5: Solve for x
    x = 61,100,165.43/9,487.13
  6. Step 6: Final answer
    x = 6,440.32

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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.