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Finding the Fourth Proportional to 7,051.09, 9,718.32 and 6,149.21

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Solution

The fourth proportional to 7,051.09, 9,718.32 and 6,149.21 is: 8,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.09 : 9,718.32 = 6,149.21 : x
  2. Step 2: Convert to fraction form
    7,051.09/9,718.32 = 6,149.21/x
  3. Step 3: Cross multiply
    7,051.09x = 9,718.32 × 6,149.21
  4. Step 4: Simplify right side
    7,051.09x = 59,759,990.53
  5. Step 5: Solve for x
    x = 59,759,990.53/7,051.09
  6. Step 6: Final answer
    x = 8,475.28

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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.