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Finding the Fourth Proportional to 9,752.96, 14,631.32 and 3,910.16

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Solution

The fourth proportional to 9,752.96, 14,631.32 and 3,910.16 is: 5,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.96 : 14,631.32 = 3,910.16 : x
  2. Step 2: Convert to fraction form
    9,752.96/14,631.32 = 3,910.16/x
  3. Step 3: Cross multiply
    9,752.96x = 14,631.32 × 3,910.16
  4. Step 4: Simplify right side
    9,752.96x = 57,210,802.21
  5. Step 5: Solve for x
    x = 57,210,802.21/9,752.96
  6. Step 6: Final answer
    x = 5,865.99

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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.