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Finding the Fourth Proportional to 9,564.78, 14,334.21 and 4,624.59

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Solution

The fourth proportional to 9,564.78, 14,334.21 and 4,624.59 is: 6,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.78 : 14,334.21 = 4,624.59 : x
  2. Step 2: Convert to fraction form
    9,564.78/14,334.21 = 4,624.59/x
  3. Step 3: Cross multiply
    9,564.78x = 14,334.21 × 4,624.59
  4. Step 4: Simplify right side
    9,564.78x = 66,289,844.22
  5. Step 5: Solve for x
    x = 66,289,844.22/9,564.78
  6. Step 6: Final answer
    x = 6,930.62

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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.