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Finding the Fourth Proportional to 9,291.84, 13,919.54 and 5,388.05

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Solution

The fourth proportional to 9,291.84, 13,919.54 and 5,388.05 is: 8,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 13,919.54 = 5,388.05 : x
  2. Step 2: Convert to fraction form
    9,291.84/13,919.54 = 5,388.05/x
  3. Step 3: Cross multiply
    9,291.84x = 13,919.54 × 5,388.05
  4. Step 4: Simplify right side
    9,291.84x = 74,999,080.96
  5. Step 5: Solve for x
    x = 74,999,080.96/9,291.84
  6. Step 6: Final answer
    x = 8,071.50

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Why These Related Problems?

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