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Finding the Fourth Proportional to 9,627, 14,438.28 and 3,051.96

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Solution

The fourth proportional to 9,627, 14,438.28 and 3,051.96 is: 4,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627 : 14,438.28 = 3,051.96 : x
  2. Step 2: Convert to fraction form
    9,627/14,438.28 = 3,051.96/x
  3. Step 3: Cross multiply
    9,627x = 14,438.28 × 3,051.96
  4. Step 4: Simplify right side
    9,627x = 44,065,053.03
  5. Step 5: Solve for x
    x = 44,065,053.03/9,627
  6. Step 6: Final answer
    x = 4,577.24

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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.