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Finding the Fourth Proportional to 9,441.93, 14,166.74 and 6,068.50

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Solution

The fourth proportional to 9,441.93, 14,166.74 and 6,068.50 is: 9,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.93 : 14,166.74 = 6,068.50 : x
  2. Step 2: Convert to fraction form
    9,441.93/14,166.74 = 6,068.50/x
  3. Step 3: Cross multiply
    9,441.93x = 14,166.74 × 6,068.50
  4. Step 4: Simplify right side
    9,441.93x = 85,970,831.35
  5. Step 5: Solve for x
    x = 85,970,831.35/9,441.93
  6. Step 6: Final answer
    x = 9,105.22

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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.