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Finding the Fourth Proportional to 9,752.16, 13,455.84 and 5,770.24

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Solution

The fourth proportional to 9,752.16, 13,455.84 and 5,770.24 is: 7,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.16 : 13,455.84 = 5,770.24 : x
  2. Step 2: Convert to fraction form
    9,752.16/13,455.84 = 5,770.24/x
  3. Step 3: Cross multiply
    9,752.16x = 13,455.84 × 5,770.24
  4. Step 4: Simplify right side
    9,752.16x = 77,643,426.20
  5. Step 5: Solve for x
    x = 77,643,426.20/9,752.16
  6. Step 6: Final answer
    x = 7,961.66

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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.