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Finding the Fourth Proportional to 9,882.90, 14,824.71 and 2,957.94

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Solution

The fourth proportional to 9,882.90, 14,824.71 and 2,957.94 is: 4,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.90 : 14,824.71 = 2,957.94 : x
  2. Step 2: Convert to fraction form
    9,882.90/14,824.71 = 2,957.94/x
  3. Step 3: Cross multiply
    9,882.90x = 14,824.71 × 2,957.94
  4. Step 4: Simplify right side
    9,882.90x = 43,850,602.70
  5. Step 5: Solve for x
    x = 43,850,602.70/9,882.90
  6. Step 6: Final answer
    x = 4,437.02

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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.