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Finding the Fourth Proportional to 6,901.75, 9,525.65 and 4,068.95

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Solution

The fourth proportional to 6,901.75, 9,525.65 and 4,068.95 is: 5,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.75 : 9,525.65 = 4,068.95 : x
  2. Step 2: Convert to fraction form
    6,901.75/9,525.65 = 4,068.95/x
  3. Step 3: Cross multiply
    6,901.75x = 9,525.65 × 4,068.95
  4. Step 4: Simplify right side
    6,901.75x = 38,759,427.55
  5. Step 5: Solve for x
    x = 38,759,427.55/6,901.75
  6. Step 6: Final answer
    x = 5,615.89

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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.