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Finding the Fourth Proportional to 9,616.53, 14,425.28 and 4,690.38

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Solution

The fourth proportional to 9,616.53, 14,425.28 and 4,690.38 is: 7,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.53 : 14,425.28 = 4,690.38 : x
  2. Step 2: Convert to fraction form
    9,616.53/14,425.28 = 4,690.38/x
  3. Step 3: Cross multiply
    9,616.53x = 14,425.28 × 4,690.38
  4. Step 4: Simplify right side
    9,616.53x = 67,660,021.35
  5. Step 5: Solve for x
    x = 67,660,021.35/9,616.53
  6. Step 6: Final answer
    x = 7,035.80

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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.