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Finding the Fourth Proportional to 9,975.70, 14,962.86 and 5,535.46

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Solution

The fourth proportional to 9,975.70, 14,962.86 and 5,535.46 is: 8,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.70 : 14,962.86 = 5,535.46 : x
  2. Step 2: Convert to fraction form
    9,975.70/14,962.86 = 5,535.46/x
  3. Step 3: Cross multiply
    9,975.70x = 14,962.86 × 5,535.46
  4. Step 4: Simplify right side
    9,975.70x = 82,826,313.02
  5. Step 5: Solve for x
    x = 82,826,313.02/9,975.70
  6. Step 6: Final answer
    x = 8,302.81

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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.