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Finding the Fourth Proportional to 6,971, 9,619.98 and 3,827.18

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Solution

The fourth proportional to 6,971, 9,619.98 and 3,827.18 is: 5,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971 : 9,619.98 = 3,827.18 : x
  2. Step 2: Convert to fraction form
    6,971/9,619.98 = 3,827.18/x
  3. Step 3: Cross multiply
    6,971x = 9,619.98 × 3,827.18
  4. Step 4: Simplify right side
    6,971x = 36,817,395.06
  5. Step 5: Solve for x
    x = 36,817,395.06/6,971
  6. Step 6: Final answer
    x = 5,281.51

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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.