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Finding the Fourth Proportional to 9,612.12, 14,418.16 and 4,064

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Solution

The fourth proportional to 9,612.12, 14,418.16 and 4,064 is: 6,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.12 : 14,418.16 = 4,064 : x
  2. Step 2: Convert to fraction form
    9,612.12/14,418.16 = 4,064/x
  3. Step 3: Cross multiply
    9,612.12x = 14,418.16 × 4,064
  4. Step 4: Simplify right side
    9,612.12x = 58,595,402.24
  5. Step 5: Solve for x
    x = 58,595,402.24/9,612.12
  6. Step 6: Final answer
    x = 6,095.99

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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.