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Finding the Fourth Proportional to 9,225.70, 12,730.98 and 5,687.62

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Solution

The fourth proportional to 9,225.70, 12,730.98 and 5,687.62 is: 7,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.70 : 12,730.98 = 5,687.62 : x
  2. Step 2: Convert to fraction form
    9,225.70/12,730.98 = 5,687.62/x
  3. Step 3: Cross multiply
    9,225.70x = 12,730.98 × 5,687.62
  4. Step 4: Simplify right side
    9,225.70x = 72,408,976.47
  5. Step 5: Solve for x
    x = 72,408,976.47/9,225.70
  6. Step 6: Final answer
    x = 7,848.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.