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Finding the Fourth Proportional to 9,853.40, 13,590 and 6,316.88

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Solution

The fourth proportional to 9,853.40, 13,590 and 6,316.88 is: 8,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.40 : 13,590 = 6,316.88 : x
  2. Step 2: Convert to fraction form
    9,853.40/13,590 = 6,316.88/x
  3. Step 3: Cross multiply
    9,853.40x = 13,590 × 6,316.88
  4. Step 4: Simplify right side
    9,853.40x = 85,846,399.20
  5. Step 5: Solve for x
    x = 85,846,399.20/9,853.40
  6. Step 6: Final answer
    x = 8,712.36

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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.