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Finding the Fourth Proportional to 9,497.26, 13,106.19 and 5,248.20

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Solution

The fourth proportional to 9,497.26, 13,106.19 and 5,248.20 is: 7,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.26 : 13,106.19 = 5,248.20 : x
  2. Step 2: Convert to fraction form
    9,497.26/13,106.19 = 5,248.20/x
  3. Step 3: Cross multiply
    9,497.26x = 13,106.19 × 5,248.20
  4. Step 4: Simplify right side
    9,497.26x = 68,783,945.67
  5. Step 5: Solve for x
    x = 68,783,945.67/9,497.26
  6. Step 6: Final answer
    x = 7,242.50

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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.