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Finding the Fourth Proportional to 9,570.42, 14,359.14 and 4,025.16

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Solution

The fourth proportional to 9,570.42, 14,359.14 and 4,025.16 is: 6,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.42 : 14,359.14 = 4,025.16 : x
  2. Step 2: Convert to fraction form
    9,570.42/14,359.14 = 4,025.16/x
  3. Step 3: Cross multiply
    9,570.42x = 14,359.14 × 4,025.16
  4. Step 4: Simplify right side
    9,570.42x = 57,797,835.96
  5. Step 5: Solve for x
    x = 57,797,835.96/9,570.42
  6. Step 6: Final answer
    x = 6,039.22

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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.