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Finding the Fourth Proportional to 9,346.86, 14,018.31 and 3,503.90

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Solution

The fourth proportional to 9,346.86, 14,018.31 and 3,503.90 is: 5,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.86 : 14,018.31 = 3,503.90 : x
  2. Step 2: Convert to fraction form
    9,346.86/14,018.31 = 3,503.90/x
  3. Step 3: Cross multiply
    9,346.86x = 14,018.31 × 3,503.90
  4. Step 4: Simplify right side
    9,346.86x = 49,118,756.41
  5. Step 5: Solve for x
    x = 49,118,756.41/9,346.86
  6. Step 6: Final answer
    x = 5,255.11

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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.