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Finding the Fourth Proportional to 9,516.51, 14,256.30 and 7,013.15

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Solution

The fourth proportional to 9,516.51, 14,256.30 and 7,013.15 is: 10,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.51 : 14,256.30 = 7,013.15 : x
  2. Step 2: Convert to fraction form
    9,516.51/14,256.30 = 7,013.15/x
  3. Step 3: Cross multiply
    9,516.51x = 14,256.30 × 7,013.15
  4. Step 4: Simplify right side
    9,516.51x = 99,981,535.28
  5. Step 5: Solve for x
    x = 99,981,535.28/9,516.51
  6. Step 6: Final answer
    x = 10,506.12

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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.