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Finding the Fourth Proportional to 7,047.30, 9,731.85 and 4,533.77

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Solution

The fourth proportional to 7,047.30, 9,731.85 and 4,533.77 is: 6,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.30 : 9,731.85 = 4,533.77 : x
  2. Step 2: Convert to fraction form
    7,047.30/9,731.85 = 4,533.77/x
  3. Step 3: Cross multiply
    7,047.30x = 9,731.85 × 4,533.77
  4. Step 4: Simplify right side
    7,047.30x = 44,121,969.57
  5. Step 5: Solve for x
    x = 44,121,969.57/7,047.30
  6. Step 6: Final answer
    x = 6,260.83

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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.