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Finding the Fourth Proportional to 9,390, 14,064.84 and 6,093.48

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Solution

The fourth proportional to 9,390, 14,064.84 and 6,093.48 is: 9,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390 : 14,064.84 = 6,093.48 : x
  2. Step 2: Convert to fraction form
    9,390/14,064.84 = 6,093.48/x
  3. Step 3: Cross multiply
    9,390x = 14,064.84 × 6,093.48
  4. Step 4: Simplify right side
    9,390x = 85,703,821.24
  5. Step 5: Solve for x
    x = 85,703,821.24/9,390
  6. Step 6: Final answer
    x = 9,127.14

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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.