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Finding the Fourth Proportional to 9,881.52, 14,822.28 and 4,684.56

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Solution

The fourth proportional to 9,881.52, 14,822.28 and 4,684.56 is: 7,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.52 : 14,822.28 = 4,684.56 : x
  2. Step 2: Convert to fraction form
    9,881.52/14,822.28 = 4,684.56/x
  3. Step 3: Cross multiply
    9,881.52x = 14,822.28 × 4,684.56
  4. Step 4: Simplify right side
    9,881.52x = 69,435,860.00
  5. Step 5: Solve for x
    x = 69,435,860.00/9,881.52
  6. Step 6: Final answer
    x = 7,026.84

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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.