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Finding the Fourth Proportional to 9,716.48, 14,578.28 and 5,823.60

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Solution

The fourth proportional to 9,716.48, 14,578.28 and 5,823.60 is: 8,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.48 : 14,578.28 = 5,823.60 : x
  2. Step 2: Convert to fraction form
    9,716.48/14,578.28 = 5,823.60/x
  3. Step 3: Cross multiply
    9,716.48x = 14,578.28 × 5,823.60
  4. Step 4: Simplify right side
    9,716.48x = 84,898,071.41
  5. Step 5: Solve for x
    x = 84,898,071.41/9,716.48
  6. Step 6: Final answer
    x = 8,737.53

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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.