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Finding the Fourth Proportional to 6,642.63, 9,165.49 and 5,048.86

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Solution

The fourth proportional to 6,642.63, 9,165.49 and 5,048.86 is: 6,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.63 : 9,165.49 = 5,048.86 : x
  2. Step 2: Convert to fraction form
    6,642.63/9,165.49 = 5,048.86/x
  3. Step 3: Cross multiply
    6,642.63x = 9,165.49 × 5,048.86
  4. Step 4: Simplify right side
    6,642.63x = 46,275,259.24
  5. Step 5: Solve for x
    x = 46,275,259.24/6,642.63
  6. Step 6: Final answer
    x = 6,966.40

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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.