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Finding the Fourth Proportional to 9,570.70, 14,355.24 and 4,023.82

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Solution

The fourth proportional to 9,570.70, 14,355.24 and 4,023.82 is: 6,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.70 : 14,355.24 = 4,023.82 : x
  2. Step 2: Convert to fraction form
    9,570.70/14,355.24 = 4,023.82/x
  3. Step 3: Cross multiply
    9,570.70x = 14,355.24 × 4,023.82
  4. Step 4: Simplify right side
    9,570.70x = 57,762,901.82
  5. Step 5: Solve for x
    x = 57,762,901.82/9,570.70
  6. Step 6: Final answer
    x = 6,035.39

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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.