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Finding the Fourth Proportional to 9,776.39, 14,631.21 and 6,216.71

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Solution

The fourth proportional to 9,776.39, 14,631.21 and 6,216.71 is: 9,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.39 : 14,631.21 = 6,216.71 : x
  2. Step 2: Convert to fraction form
    9,776.39/14,631.21 = 6,216.71/x
  3. Step 3: Cross multiply
    9,776.39x = 14,631.21 × 6,216.71
  4. Step 4: Simplify right side
    9,776.39x = 90,957,916.36
  5. Step 5: Solve for x
    x = 90,957,916.36/9,776.39
  6. Step 6: Final answer
    x = 9,303.84

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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.