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Finding the Fourth Proportional to 9,516.70, 14,277.21 and 5,134.06

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Solution

The fourth proportional to 9,516.70, 14,277.21 and 5,134.06 is: 7,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.70 : 14,277.21 = 5,134.06 : x
  2. Step 2: Convert to fraction form
    9,516.70/14,277.21 = 5,134.06/x
  3. Step 3: Cross multiply
    9,516.70x = 14,277.21 × 5,134.06
  4. Step 4: Simplify right side
    9,516.70x = 73,300,052.77
  5. Step 5: Solve for x
    x = 73,300,052.77/9,516.70
  6. Step 6: Final answer
    x = 7,702.26

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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.