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Finding the Fourth Proportional to 9,624.57, 14,438.06 and 3,048.40

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Solution

The fourth proportional to 9,624.57, 14,438.06 and 3,048.40 is: 4,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.57 : 14,438.06 = 3,048.40 : x
  2. Step 2: Convert to fraction form
    9,624.57/14,438.06 = 3,048.40/x
  3. Step 3: Cross multiply
    9,624.57x = 14,438.06 × 3,048.40
  4. Step 4: Simplify right side
    9,624.57x = 44,012,989.73
  5. Step 5: Solve for x
    x = 44,012,989.73/9,624.57
  6. Step 6: Final answer
    x = 4,572.98

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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.