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Finding the Fourth Proportional to 9,671.62, 14,511.53 and 5,283.95

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Solution

The fourth proportional to 9,671.62, 14,511.53 and 5,283.95 is: 7,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.62 : 14,511.53 = 5,283.95 : x
  2. Step 2: Convert to fraction form
    9,671.62/14,511.53 = 5,283.95/x
  3. Step 3: Cross multiply
    9,671.62x = 14,511.53 × 5,283.95
  4. Step 4: Simplify right side
    9,671.62x = 76,678,208.80
  5. Step 5: Solve for x
    x = 76,678,208.80/9,671.62
  6. Step 6: Final answer
    x = 7,928.17

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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.