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Finding the Fourth Proportional to 9,976.80, 13,765.32 and 6,442.08

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Solution

The fourth proportional to 9,976.80, 13,765.32 and 6,442.08 is: 8,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.80 : 13,765.32 = 6,442.08 : x
  2. Step 2: Convert to fraction form
    9,976.80/13,765.32 = 6,442.08/x
  3. Step 3: Cross multiply
    9,976.80x = 13,765.32 × 6,442.08
  4. Step 4: Simplify right side
    9,976.80x = 88,677,292.67
  5. Step 5: Solve for x
    x = 88,677,292.67/9,976.80
  6. Step 6: Final answer
    x = 8,888.35

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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.