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Finding the Fourth Proportional to 9,788.74, 14,670.23 and 5,348.35

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Solution

The fourth proportional to 9,788.74, 14,670.23 and 5,348.35 is: 8,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.74 : 14,670.23 = 5,348.35 : x
  2. Step 2: Convert to fraction form
    9,788.74/14,670.23 = 5,348.35/x
  3. Step 3: Cross multiply
    9,788.74x = 14,670.23 × 5,348.35
  4. Step 4: Simplify right side
    9,788.74x = 78,461,524.62
  5. Step 5: Solve for x
    x = 78,461,524.62/9,788.74
  6. Step 6: Final answer
    x = 8,015.49

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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.