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Finding the Fourth Proportional to 7,095.96, 9,790.56 and 4,734

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Solution

The fourth proportional to 7,095.96, 9,790.56 and 4,734 is: 6,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.96 : 9,790.56 = 4,734 : x
  2. Step 2: Convert to fraction form
    7,095.96/9,790.56 = 4,734/x
  3. Step 3: Cross multiply
    7,095.96x = 9,790.56 × 4,734
  4. Step 4: Simplify right side
    7,095.96x = 46,348,511.04
  5. Step 5: Solve for x
    x = 46,348,511.04/7,095.96
  6. Step 6: Final answer
    x = 6,531.68

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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.