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Finding the Fourth Proportional to 9,980.69, 14,951.88 and 5,584.82

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Solution

The fourth proportional to 9,980.69, 14,951.88 and 5,584.82 is: 8,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.69 : 14,951.88 = 5,584.82 : x
  2. Step 2: Convert to fraction form
    9,980.69/14,951.88 = 5,584.82/x
  3. Step 3: Cross multiply
    9,980.69x = 14,951.88 × 5,584.82
  4. Step 4: Simplify right side
    9,980.69x = 83,503,558.46
  5. Step 5: Solve for x
    x = 83,503,558.46/9,980.69
  6. Step 6: Final answer
    x = 8,366.51

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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.