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Finding the Fourth Proportional to 9,669.75, 14,503.86 and 3,094.17

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Solution

The fourth proportional to 9,669.75, 14,503.86 and 3,094.17 is: 4,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.75 : 14,503.86 = 3,094.17 : x
  2. Step 2: Convert to fraction form
    9,669.75/14,503.86 = 3,094.17/x
  3. Step 3: Cross multiply
    9,669.75x = 14,503.86 × 3,094.17
  4. Step 4: Simplify right side
    9,669.75x = 44,877,408.50
  5. Step 5: Solve for x
    x = 44,877,408.50/9,669.75
  6. Step 6: Final answer
    x = 4,641.01

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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.