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Finding the Fourth Proportional to 9,624.73, 14,438.55 and 4,078.10

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Solution

The fourth proportional to 9,624.73, 14,438.55 and 4,078.10 is: 6,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.73 : 14,438.55 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    9,624.73/14,438.55 = 4,078.10/x
  3. Step 3: Cross multiply
    9,624.73x = 14,438.55 × 4,078.10
  4. Step 4: Simplify right side
    9,624.73x = 58,881,850.76
  5. Step 5: Solve for x
    x = 58,881,850.76/9,624.73
  6. Step 6: Final answer
    x = 6,117.77

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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.