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Finding the Fourth Proportional to 9,047.30, 13,568.21 and 5,348.53

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Solution

The fourth proportional to 9,047.30, 13,568.21 and 5,348.53 is: 8,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.30 : 13,568.21 = 5,348.53 : x
  2. Step 2: Convert to fraction form
    9,047.30/13,568.21 = 5,348.53/x
  3. Step 3: Cross multiply
    9,047.30x = 13,568.21 × 5,348.53
  4. Step 4: Simplify right side
    9,047.30x = 72,569,988.51
  5. Step 5: Solve for x
    x = 72,569,988.51/9,047.30
  6. Step 6: Final answer
    x = 8,021.18

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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.