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Finding the Fourth Proportional to 6,951.30, 9,597.16 and 5,354.95

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Solution

The fourth proportional to 6,951.30, 9,597.16 and 5,354.95 is: 7,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.30 : 9,597.16 = 5,354.95 : x
  2. Step 2: Convert to fraction form
    6,951.30/9,597.16 = 5,354.95/x
  3. Step 3: Cross multiply
    6,951.30x = 9,597.16 × 5,354.95
  4. Step 4: Simplify right side
    6,951.30x = 51,392,237.18
  5. Step 5: Solve for x
    x = 51,392,237.18/6,951.30
  6. Step 6: Final answer
    x = 7,393.18

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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.