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Finding the Fourth Proportional to 9,573.16, 14,349.12 and 4,024.86

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Solution

The fourth proportional to 9,573.16, 14,349.12 and 4,024.86 is: 6,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.16 : 14,349.12 = 4,024.86 : x
  2. Step 2: Convert to fraction form
    9,573.16/14,349.12 = 4,024.86/x
  3. Step 3: Cross multiply
    9,573.16x = 14,349.12 × 4,024.86
  4. Step 4: Simplify right side
    9,573.16x = 57,753,199.12
  5. Step 5: Solve for x
    x = 57,753,199.12/9,573.16
  6. Step 6: Final answer
    x = 6,032.83

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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.