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Finding the Fourth Proportional to 9,568.85, 14,354.35 and 4,021.16

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Solution

The fourth proportional to 9,568.85, 14,354.35 and 4,021.16 is: 6,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.85 : 14,354.35 = 4,021.16 : x
  2. Step 2: Convert to fraction form
    9,568.85/14,354.35 = 4,021.16/x
  3. Step 3: Cross multiply
    9,568.85x = 14,354.35 × 4,021.16
  4. Step 4: Simplify right side
    9,568.85x = 57,721,056.22
  5. Step 5: Solve for x
    x = 57,721,056.22/9,568.85
  6. Step 6: Final answer
    x = 6,032.19

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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.