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Finding the Fourth Proportional to 9,929.16, 14,894.10 and 2,907.90

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Solution

The fourth proportional to 9,929.16, 14,894.10 and 2,907.90 is: 4,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.16 : 14,894.10 = 2,907.90 : x
  2. Step 2: Convert to fraction form
    9,929.16/14,894.10 = 2,907.90/x
  3. Step 3: Cross multiply
    9,929.16x = 14,894.10 × 2,907.90
  4. Step 4: Simplify right side
    9,929.16x = 43,310,553.39
  5. Step 5: Solve for x
    x = 43,310,553.39/9,929.16
  6. Step 6: Final answer
    x = 4,361.96

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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.