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Finding the Fourth Proportional to 7,051.31, 9,730.09 and 4,218.13

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Solution

The fourth proportional to 7,051.31, 9,730.09 and 4,218.13 is: 5,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.31 : 9,730.09 = 4,218.13 : x
  2. Step 2: Convert to fraction form
    7,051.31/9,730.09 = 4,218.13/x
  3. Step 3: Cross multiply
    7,051.31x = 9,730.09 × 4,218.13
  4. Step 4: Simplify right side
    7,051.31x = 41,042,784.53
  5. Step 5: Solve for x
    x = 41,042,784.53/7,051.31
  6. Step 6: Final answer
    x = 5,820.59

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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.