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Finding the Fourth Proportional to 9,944, 14,920.80 and 3,792.32

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Solution

The fourth proportional to 9,944, 14,920.80 and 3,792.32 is: 5,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944 : 14,920.80 = 3,792.32 : x
  2. Step 2: Convert to fraction form
    9,944/14,920.80 = 3,792.32/x
  3. Step 3: Cross multiply
    9,944x = 14,920.80 × 3,792.32
  4. Step 4: Simplify right side
    9,944x = 56,584,448.26
  5. Step 5: Solve for x
    x = 56,584,448.26/9,944
  6. Step 6: Final answer
    x = 5,690.31

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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.