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Finding the Fourth Proportional to 9,610.16, 14,400.66 and 7,133.41

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Solution

The fourth proportional to 9,610.16, 14,400.66 and 7,133.41 is: 10,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.16 : 14,400.66 = 7,133.41 : x
  2. Step 2: Convert to fraction form
    9,610.16/14,400.66 = 7,133.41/x
  3. Step 3: Cross multiply
    9,610.16x = 14,400.66 × 7,133.41
  4. Step 4: Simplify right side
    9,610.16x = 102,725,740.05
  5. Step 5: Solve for x
    x = 102,725,740.05/9,610.16
  6. Step 6: Final answer
    x = 10,689.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.