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Finding the Fourth Proportional to 9,659.70, 14,491.65 and 5,501.70

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Solution

The fourth proportional to 9,659.70, 14,491.65 and 5,501.70 is: 8,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.70 : 14,491.65 = 5,501.70 : x
  2. Step 2: Convert to fraction form
    9,659.70/14,491.65 = 5,501.70/x
  3. Step 3: Cross multiply
    9,659.70x = 14,491.65 × 5,501.70
  4. Step 4: Simplify right side
    9,659.70x = 79,728,710.81
  5. Step 5: Solve for x
    x = 79,728,710.81/9,659.70
  6. Step 6: Final answer
    x = 8,253.75

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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.