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Finding the Fourth Proportional to 9,488.34, 14,232.51 and 4,807.62

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Solution

The fourth proportional to 9,488.34, 14,232.51 and 4,807.62 is: 7,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.34 : 14,232.51 = 4,807.62 : x
  2. Step 2: Convert to fraction form
    9,488.34/14,232.51 = 4,807.62/x
  3. Step 3: Cross multiply
    9,488.34x = 14,232.51 × 4,807.62
  4. Step 4: Simplify right side
    9,488.34x = 68,424,499.73
  5. Step 5: Solve for x
    x = 68,424,499.73/9,488.34
  6. Step 6: Final answer
    x = 7,211.43

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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.