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Finding the Fourth Proportional to 9,653.26, 14,472.60 and 5,274.40

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Solution

The fourth proportional to 9,653.26, 14,472.60 and 5,274.40 is: 7,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.26 : 14,472.60 = 5,274.40 : x
  2. Step 2: Convert to fraction form
    9,653.26/14,472.60 = 5,274.40/x
  3. Step 3: Cross multiply
    9,653.26x = 14,472.60 × 5,274.40
  4. Step 4: Simplify right side
    9,653.26x = 76,334,281.44
  5. Step 5: Solve for x
    x = 76,334,281.44/9,653.26
  6. Step 6: Final answer
    x = 7,907.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.