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Finding the Fourth Proportional to 9,595.94, 14,398.10 and 3,360.43

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Solution

The fourth proportional to 9,595.94, 14,398.10 and 3,360.43 is: 5,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.94 : 14,398.10 = 3,360.43 : x
  2. Step 2: Convert to fraction form
    9,595.94/14,398.10 = 3,360.43/x
  3. Step 3: Cross multiply
    9,595.94x = 14,398.10 × 3,360.43
  4. Step 4: Simplify right side
    9,595.94x = 48,383,762.79
  5. Step 5: Solve for x
    x = 48,383,762.79/9,595.94
  6. Step 6: Final answer
    x = 5,042.11

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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.