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Finding the Fourth Proportional to 6,782.94, 9,360.54 and 3,798.72

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Solution

The fourth proportional to 6,782.94, 9,360.54 and 3,798.72 is: 5,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.94 : 9,360.54 = 3,798.72 : x
  2. Step 2: Convert to fraction form
    6,782.94/9,360.54 = 3,798.72/x
  3. Step 3: Cross multiply
    6,782.94x = 9,360.54 × 3,798.72
  4. Step 4: Simplify right side
    6,782.94x = 35,558,070.51
  5. Step 5: Solve for x
    x = 35,558,070.51/6,782.94
  6. Step 6: Final answer
    x = 5,242.28

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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.