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Finding the Fourth Proportional to 9,160.84, 13,740.01 and 2,587.56

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Solution

The fourth proportional to 9,160.84, 13,740.01 and 2,587.56 is: 3,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.84 : 13,740.01 = 2,587.56 : x
  2. Step 2: Convert to fraction form
    9,160.84/13,740.01 = 2,587.56/x
  3. Step 3: Cross multiply
    9,160.84x = 13,740.01 × 2,587.56
  4. Step 4: Simplify right side
    9,160.84x = 35,553,100.28
  5. Step 5: Solve for x
    x = 35,553,100.28/9,160.84
  6. Step 6: Final answer
    x = 3,880.99

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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.