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Finding the Fourth Proportional to 9,676.40, 14,503.80 and 4,994.60

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Solution

The fourth proportional to 9,676.40, 14,503.80 and 4,994.60 is: 7,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.40 : 14,503.80 = 4,994.60 : x
  2. Step 2: Convert to fraction form
    9,676.40/14,503.80 = 4,994.60/x
  3. Step 3: Cross multiply
    9,676.40x = 14,503.80 × 4,994.60
  4. Step 4: Simplify right side
    9,676.40x = 72,440,679.48
  5. Step 5: Solve for x
    x = 72,440,679.48/9,676.40
  6. Step 6: Final answer
    x = 7,486.33

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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.