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Finding the Fourth Proportional to 9,696.93, 14,543.33 and 4,430.44

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Solution

The fourth proportional to 9,696.93, 14,543.33 and 4,430.44 is: 6,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.93 : 14,543.33 = 4,430.44 : x
  2. Step 2: Convert to fraction form
    9,696.93/14,543.33 = 4,430.44/x
  3. Step 3: Cross multiply
    9,696.93x = 14,543.33 × 4,430.44
  4. Step 4: Simplify right side
    9,696.93x = 64,433,350.97
  5. Step 5: Solve for x
    x = 64,433,350.97/9,696.93
  6. Step 6: Final answer
    x = 6,644.72

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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.