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Finding the Fourth Proportional to 9,612.26, 14,420.31 and 4,065.58

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Solution

The fourth proportional to 9,612.26, 14,420.31 and 4,065.58 is: 6,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.26 : 14,420.31 = 4,065.58 : x
  2. Step 2: Convert to fraction form
    9,612.26/14,420.31 = 4,065.58/x
  3. Step 3: Cross multiply
    9,612.26x = 14,420.31 × 4,065.58
  4. Step 4: Simplify right side
    9,612.26x = 58,626,831.50
  5. Step 5: Solve for x
    x = 58,626,831.50/9,612.26
  6. Step 6: Final answer
    x = 6,099.18

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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.