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Finding the Fourth Proportional to 9,926.90, 14,894.21 and 4,376.33

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Solution

The fourth proportional to 9,926.90, 14,894.21 and 4,376.33 is: 6,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.90 : 14,894.21 = 4,376.33 : x
  2. Step 2: Convert to fraction form
    9,926.90/14,894.21 = 4,376.33/x
  3. Step 3: Cross multiply
    9,926.90x = 14,894.21 × 4,376.33
  4. Step 4: Simplify right side
    9,926.90x = 65,181,881.70
  5. Step 5: Solve for x
    x = 65,181,881.70/9,926.90
  6. Step 6: Final answer
    x = 6,566.19

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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.