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Finding the Fourth Proportional to 9,569.84, 14,346.10 and 3,412.40

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Solution

The fourth proportional to 9,569.84, 14,346.10 and 3,412.40 is: 5,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.84 : 14,346.10 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    9,569.84/14,346.10 = 3,412.40/x
  3. Step 3: Cross multiply
    9,569.84x = 14,346.10 × 3,412.40
  4. Step 4: Simplify right side
    9,569.84x = 48,954,631.64
  5. Step 5: Solve for x
    x = 48,954,631.64/9,569.84
  6. Step 6: Final answer
    x = 5,115.51

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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.