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Finding the Fourth Proportional to 7,157.17, 9,871.48 and 6,271.44

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Solution

The fourth proportional to 7,157.17, 9,871.48 and 6,271.44 is: 8,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.17 : 9,871.48 = 6,271.44 : x
  2. Step 2: Convert to fraction form
    7,157.17/9,871.48 = 6,271.44/x
  3. Step 3: Cross multiply
    7,157.17x = 9,871.48 × 6,271.44
  4. Step 4: Simplify right side
    7,157.17x = 61,908,394.53
  5. Step 5: Solve for x
    x = 61,908,394.53/7,157.17
  6. Step 6: Final answer
    x = 8,649.84

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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.