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Finding the Fourth Proportional to 9,884.52, 14,828.40 and 4,687.56

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Solution

The fourth proportional to 9,884.52, 14,828.40 and 4,687.56 is: 7,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.52 : 14,828.40 = 4,687.56 : x
  2. Step 2: Convert to fraction form
    9,884.52/14,828.40 = 4,687.56/x
  3. Step 3: Cross multiply
    9,884.52x = 14,828.40 × 4,687.56
  4. Step 4: Simplify right side
    9,884.52x = 69,509,014.70
  5. Step 5: Solve for x
    x = 69,509,014.70/9,884.52
  6. Step 6: Final answer
    x = 7,032.11

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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.