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Finding the Fourth Proportional to 9,361.68, 14,045.34 and 2,788.08

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Solution

The fourth proportional to 9,361.68, 14,045.34 and 2,788.08 is: 4,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.68 : 14,045.34 = 2,788.08 : x
  2. Step 2: Convert to fraction form
    9,361.68/14,045.34 = 2,788.08/x
  3. Step 3: Cross multiply
    9,361.68x = 14,045.34 × 2,788.08
  4. Step 4: Simplify right side
    9,361.68x = 39,159,531.55
  5. Step 5: Solve for x
    x = 39,159,531.55/9,361.68
  6. Step 6: Final answer
    x = 4,182.96

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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.