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Finding the Fourth Proportional to 9,358.34, 12,914.84 and 5,109.68

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Solution

The fourth proportional to 9,358.34, 12,914.84 and 5,109.68 is: 7,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.34 : 12,914.84 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    9,358.34/12,914.84 = 5,109.68/x
  3. Step 3: Cross multiply
    9,358.34x = 12,914.84 × 5,109.68
  4. Step 4: Simplify right side
    9,358.34x = 65,990,744.71
  5. Step 5: Solve for x
    x = 65,990,744.71/9,358.34
  6. Step 6: Final answer
    x = 7,051.55

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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.