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Finding the Fourth Proportional to 9,474.56, 13,074.56 and 5,225.70

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Solution

The fourth proportional to 9,474.56, 13,074.56 and 5,225.70 is: 7,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.56 : 13,074.56 = 5,225.70 : x
  2. Step 2: Convert to fraction form
    9,474.56/13,074.56 = 5,225.70/x
  3. Step 3: Cross multiply
    9,474.56x = 13,074.56 × 5,225.70
  4. Step 4: Simplify right side
    9,474.56x = 68,323,702.06
  5. Step 5: Solve for x
    x = 68,323,702.06/9,474.56
  6. Step 6: Final answer
    x = 7,211.28

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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.