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Finding the Fourth Proportional to 6,675.36, 9,215.34 and 4,319.40

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Solution

The fourth proportional to 6,675.36, 9,215.34 and 4,319.40 is: 5,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.36 : 9,215.34 = 4,319.40 : x
  2. Step 2: Convert to fraction form
    6,675.36/9,215.34 = 4,319.40/x
  3. Step 3: Cross multiply
    6,675.36x = 9,215.34 × 4,319.40
  4. Step 4: Simplify right side
    6,675.36x = 39,804,739.60
  5. Step 5: Solve for x
    x = 39,804,739.60/6,675.36
  6. Step 6: Final answer
    x = 5,962.94

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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.