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Finding the Fourth Proportional to 9,374.70, 12,946.77 and 8,109.68

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Solution

The fourth proportional to 9,374.70, 12,946.77 and 8,109.68 is: 11,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.70 : 12,946.77 = 8,109.68 : x
  2. Step 2: Convert to fraction form
    9,374.70/12,946.77 = 8,109.68/x
  3. Step 3: Cross multiply
    9,374.70x = 12,946.77 × 8,109.68
  4. Step 4: Simplify right side
    9,374.70x = 104,994,097.00
  5. Step 5: Solve for x
    x = 104,994,097.00/9,374.70
  6. Step 6: Final answer
    x = 11,199.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.