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Finding the Fourth Proportional to 9,527.25, 13,146.35 and 5,494.22

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Solution

The fourth proportional to 9,527.25, 13,146.35 and 5,494.22 is: 7,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.25 : 13,146.35 = 5,494.22 : x
  2. Step 2: Convert to fraction form
    9,527.25/13,146.35 = 5,494.22/x
  3. Step 3: Cross multiply
    9,527.25x = 13,146.35 × 5,494.22
  4. Step 4: Simplify right side
    9,527.25x = 72,228,985.70
  5. Step 5: Solve for x
    x = 72,228,985.70/9,527.25
  6. Step 6: Final answer
    x = 7,581.31

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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.