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Finding the Fourth Proportional to 7,085.43, 9,779.67 and 4,848.21

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Solution

The fourth proportional to 7,085.43, 9,779.67 and 4,848.21 is: 6,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.43 : 9,779.67 = 4,848.21 : x
  2. Step 2: Convert to fraction form
    7,085.43/9,779.67 = 4,848.21/x
  3. Step 3: Cross multiply
    7,085.43x = 9,779.67 × 4,848.21
  4. Step 4: Simplify right side
    7,085.43x = 47,413,893.89
  5. Step 5: Solve for x
    x = 47,413,893.89/7,085.43
  6. Step 6: Final answer
    x = 6,691.75

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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.