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Finding the Fourth Proportional to 9,384.53, 14,060.99 and 5,675.47

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Solution

The fourth proportional to 9,384.53, 14,060.99 and 5,675.47 is: 8,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.53 : 14,060.99 = 5,675.47 : x
  2. Step 2: Convert to fraction form
    9,384.53/14,060.99 = 5,675.47/x
  3. Step 3: Cross multiply
    9,384.53x = 14,060.99 × 5,675.47
  4. Step 4: Simplify right side
    9,384.53x = 79,802,705.95
  5. Step 5: Solve for x
    x = 79,802,705.95/9,384.53
  6. Step 6: Final answer
    x = 8,503.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.