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Finding the Fourth Proportional to 6,977.29, 9,633.18 and 4,852.12

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Solution

The fourth proportional to 6,977.29, 9,633.18 and 4,852.12 is: 6,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.29 : 9,633.18 = 4,852.12 : x
  2. Step 2: Convert to fraction form
    6,977.29/9,633.18 = 4,852.12/x
  3. Step 3: Cross multiply
    6,977.29x = 9,633.18 × 4,852.12
  4. Step 4: Simplify right side
    6,977.29x = 46,741,345.34
  5. Step 5: Solve for x
    x = 46,741,345.34/6,977.29
  6. Step 6: Final answer
    x = 6,699.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.