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Finding the Fourth Proportional to 9,665.64, 14,501.36 and 5,558.76

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Solution

The fourth proportional to 9,665.64, 14,501.36 and 5,558.76 is: 8,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.64 : 14,501.36 = 5,558.76 : x
  2. Step 2: Convert to fraction form
    9,665.64/14,501.36 = 5,558.76/x
  3. Step 3: Cross multiply
    9,665.64x = 14,501.36 × 5,558.76
  4. Step 4: Simplify right side
    9,665.64x = 80,609,579.91
  5. Step 5: Solve for x
    x = 80,609,579.91/9,665.64
  6. Step 6: Final answer
    x = 8,339.81

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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.