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Finding the Fourth Proportional to 9,609.36, 14,409.51 and 4,931.61

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Solution

The fourth proportional to 9,609.36, 14,409.51 and 4,931.61 is: 7,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.36 : 14,409.51 = 4,931.61 : x
  2. Step 2: Convert to fraction form
    9,609.36/14,409.51 = 4,931.61/x
  3. Step 3: Cross multiply
    9,609.36x = 14,409.51 × 4,931.61
  4. Step 4: Simplify right side
    9,609.36x = 71,062,083.61
  5. Step 5: Solve for x
    x = 71,062,083.61/9,609.36
  6. Step 6: Final answer
    x = 7,395.09

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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.