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Finding the Fourth Proportional to 6,347.35, 9,522.98 and 2,840.30

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Solution

The fourth proportional to 6,347.35, 9,522.98 and 2,840.30 is: 4,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.35 : 9,522.98 = 2,840.30 : x
  2. Step 2: Convert to fraction form
    6,347.35/9,522.98 = 2,840.30/x
  3. Step 3: Cross multiply
    6,347.35x = 9,522.98 × 2,840.30
  4. Step 4: Simplify right side
    6,347.35x = 27,048,058.28
  5. Step 5: Solve for x
    x = 27,048,058.28/6,347.35
  6. Step 6: Final answer
    x = 4,261.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.