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Finding the Fourth Proportional to 9,647.67, 14,457.66 and 5,478.87

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Solution

The fourth proportional to 9,647.67, 14,457.66 and 5,478.87 is: 8,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.67 : 14,457.66 = 5,478.87 : x
  2. Step 2: Convert to fraction form
    9,647.67/14,457.66 = 5,478.87/x
  3. Step 3: Cross multiply
    9,647.67x = 14,457.66 × 5,478.87
  4. Step 4: Simplify right side
    9,647.67x = 79,211,639.64
  5. Step 5: Solve for x
    x = 79,211,639.64/9,647.67
  6. Step 6: Final answer
    x = 8,210.44

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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.