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Finding the Fourth Proportional to 9,579.60, 14,353.20 and 4,638.60

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Solution

The fourth proportional to 9,579.60, 14,353.20 and 4,638.60 is: 6,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.60 : 14,353.20 = 4,638.60 : x
  2. Step 2: Convert to fraction form
    9,579.60/14,353.20 = 4,638.60/x
  3. Step 3: Cross multiply
    9,579.60x = 14,353.20 × 4,638.60
  4. Step 4: Simplify right side
    9,579.60x = 66,578,753.52
  5. Step 5: Solve for x
    x = 66,578,753.52/9,579.60
  6. Step 6: Final answer
    x = 6,950.06

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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.