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Finding the Fourth Proportional to 9,256.52, 12,774.74 and 5,720.88

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Solution

The fourth proportional to 9,256.52, 12,774.74 and 5,720.88 is: 7,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.52 : 12,774.74 = 5,720.88 : x
  2. Step 2: Convert to fraction form
    9,256.52/12,774.74 = 5,720.88/x
  3. Step 3: Cross multiply
    9,256.52x = 12,774.74 × 5,720.88
  4. Step 4: Simplify right side
    9,256.52x = 73,082,754.57
  5. Step 5: Solve for x
    x = 73,082,754.57/9,256.52
  6. Step 6: Final answer
    x = 7,895.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.