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Finding the Fourth Proportional to 9,349.99, 14,045.34 and 5,653.96

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Solution

The fourth proportional to 9,349.99, 14,045.34 and 5,653.96 is: 8,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.99 : 14,045.34 = 5,653.96 : x
  2. Step 2: Convert to fraction form
    9,349.99/14,045.34 = 5,653.96/x
  3. Step 3: Cross multiply
    9,349.99x = 14,045.34 × 5,653.96
  4. Step 4: Simplify right side
    9,349.99x = 79,411,790.55
  5. Step 5: Solve for x
    x = 79,411,790.55/9,349.99
  6. Step 6: Final answer
    x = 8,493.25

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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.