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Finding the Fourth Proportional to 7,005.81, 9,672.77 and 4,906.29

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Solution

The fourth proportional to 7,005.81, 9,672.77 and 4,906.29 is: 6,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.81 : 9,672.77 = 4,906.29 : x
  2. Step 2: Convert to fraction form
    7,005.81/9,672.77 = 4,906.29/x
  3. Step 3: Cross multiply
    7,005.81x = 9,672.77 × 4,906.29
  4. Step 4: Simplify right side
    7,005.81x = 47,457,390.19
  5. Step 5: Solve for x
    x = 47,457,390.19/7,005.81
  6. Step 6: Final answer
    x = 6,774.00

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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.