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Finding the Fourth Proportional to 9,790.65, 14,688.32 and 3,216.47

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Solution

The fourth proportional to 9,790.65, 14,688.32 and 3,216.47 is: 4,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.65 : 14,688.32 = 3,216.47 : x
  2. Step 2: Convert to fraction form
    9,790.65/14,688.32 = 3,216.47/x
  3. Step 3: Cross multiply
    9,790.65x = 14,688.32 × 3,216.47
  4. Step 4: Simplify right side
    9,790.65x = 47,244,451.11
  5. Step 5: Solve for x
    x = 47,244,451.11/9,790.65
  6. Step 6: Final answer
    x = 4,825.47

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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.