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Finding the Fourth Proportional to 9,715.44, 14,552.10 and 6,018.60

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Solution

The fourth proportional to 9,715.44, 14,552.10 and 6,018.60 is: 9,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.44 : 14,552.10 = 6,018.60 : x
  2. Step 2: Convert to fraction form
    9,715.44/14,552.10 = 6,018.60/x
  3. Step 3: Cross multiply
    9,715.44x = 14,552.10 × 6,018.60
  4. Step 4: Simplify right side
    9,715.44x = 87,583,269.06
  5. Step 5: Solve for x
    x = 87,583,269.06/9,715.44
  6. Step 6: Final answer
    x = 9,014.85

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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.