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Finding the Fourth Proportional to 7,077.24, 9,763.74 and 4,277.88

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Solution

The fourth proportional to 7,077.24, 9,763.74 and 4,277.88 is: 5,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.24 : 9,763.74 = 4,277.88 : x
  2. Step 2: Convert to fraction form
    7,077.24/9,763.74 = 4,277.88/x
  3. Step 3: Cross multiply
    7,077.24x = 9,763.74 × 4,277.88
  4. Step 4: Simplify right side
    7,077.24x = 41,768,108.07
  5. Step 5: Solve for x
    x = 41,768,108.07/7,077.24
  6. Step 6: Final answer
    x = 5,901.75

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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.