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Finding the Fourth Proportional to 9,914.39, 14,871.61 and 3,345.18

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Solution

The fourth proportional to 9,914.39, 14,871.61 and 3,345.18 is: 5,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.39 : 14,871.61 = 3,345.18 : x
  2. Step 2: Convert to fraction form
    9,914.39/14,871.61 = 3,345.18/x
  3. Step 3: Cross multiply
    9,914.39x = 14,871.61 × 3,345.18
  4. Step 4: Simplify right side
    9,914.39x = 49,748,212.34
  5. Step 5: Solve for x
    x = 49,748,212.34/9,914.39
  6. Step 6: Final answer
    x = 5,017.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.