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Finding the Fourth Proportional to 9,257.40, 12,774.60 and 5,720.04

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Solution

The fourth proportional to 9,257.40, 12,774.60 and 5,720.04 is: 7,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.40 : 12,774.60 = 5,720.04 : x
  2. Step 2: Convert to fraction form
    9,257.40/12,774.60 = 5,720.04/x
  3. Step 3: Cross multiply
    9,257.40x = 12,774.60 × 5,720.04
  4. Step 4: Simplify right side
    9,257.40x = 73,071,222.98
  5. Step 5: Solve for x
    x = 73,071,222.98/9,257.40
  6. Step 6: Final answer
    x = 7,893.28

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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.