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Finding the Fourth Proportional to 9,980.16, 13,770.72 and 6,835.20

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Solution

The fourth proportional to 9,980.16, 13,770.72 and 6,835.20 is: 9,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.16 : 13,770.72 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    9,980.16/13,770.72 = 6,835.20/x
  3. Step 3: Cross multiply
    9,980.16x = 13,770.72 × 6,835.20
  4. Step 4: Simplify right side
    9,980.16x = 94,125,625.34
  5. Step 5: Solve for x
    x = 94,125,625.34/9,980.16
  6. Step 6: Final answer
    x = 9,431.27

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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.