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Finding the Fourth Proportional to 9,549.26, 14,322.03 and 4,804.15

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Solution

The fourth proportional to 9,549.26, 14,322.03 and 4,804.15 is: 7,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.26 : 14,322.03 = 4,804.15 : x
  2. Step 2: Convert to fraction form
    9,549.26/14,322.03 = 4,804.15/x
  3. Step 3: Cross multiply
    9,549.26x = 14,322.03 × 4,804.15
  4. Step 4: Simplify right side
    9,549.26x = 68,805,180.42
  5. Step 5: Solve for x
    x = 68,805,180.42/9,549.26
  6. Step 6: Final answer
    x = 7,205.29

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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.