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Finding the Fourth Proportional to 9,014.52, 13,523.32 and 2,774.40

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Solution

The fourth proportional to 9,014.52, 13,523.32 and 2,774.40 is: 4,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.52 : 13,523.32 = 2,774.40 : x
  2. Step 2: Convert to fraction form
    9,014.52/13,523.32 = 2,774.40/x
  3. Step 3: Cross multiply
    9,014.52x = 13,523.32 × 2,774.40
  4. Step 4: Simplify right side
    9,014.52x = 37,519,051.76
  5. Step 5: Solve for x
    x = 37,519,051.76/9,014.52
  6. Step 6: Final answer
    x = 4,162.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.