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Finding the Fourth Proportional to 9,369.54, 14,054.40 and 5,695.38

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Solution

The fourth proportional to 9,369.54, 14,054.40 and 5,695.38 is: 8,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.54 : 14,054.40 = 5,695.38 : x
  2. Step 2: Convert to fraction form
    9,369.54/14,054.40 = 5,695.38/x
  3. Step 3: Cross multiply
    9,369.54x = 14,054.40 × 5,695.38
  4. Step 4: Simplify right side
    9,369.54x = 80,045,148.67
  5. Step 5: Solve for x
    x = 80,045,148.67/9,369.54
  6. Step 6: Final answer
    x = 8,543.12

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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.