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Finding the Fourth Proportional to 9,671.58, 14,510.82 and 5,969.52

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Solution

The fourth proportional to 9,671.58, 14,510.82 and 5,969.52 is: 8,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.58 : 14,510.82 = 5,969.52 : x
  2. Step 2: Convert to fraction form
    9,671.58/14,510.82 = 5,969.52/x
  3. Step 3: Cross multiply
    9,671.58x = 14,510.82 × 5,969.52
  4. Step 4: Simplify right side
    9,671.58x = 86,622,630.21
  5. Step 5: Solve for x
    x = 86,622,630.21/9,671.58
  6. Step 6: Final answer
    x = 8,956.41

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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.