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Finding the Fourth Proportional to 6,887.86, 9,507.39 and 4,055.00

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Solution

The fourth proportional to 6,887.86, 9,507.39 and 4,055.00 is: 5,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.86 : 9,507.39 = 4,055.00 : x
  2. Step 2: Convert to fraction form
    6,887.86/9,507.39 = 4,055.00/x
  3. Step 3: Cross multiply
    6,887.86x = 9,507.39 × 4,055.00
  4. Step 4: Simplify right side
    6,887.86x = 38,552,490.22
  5. Step 5: Solve for x
    x = 38,552,490.22/6,887.86
  6. Step 6: Final answer
    x = 5,597.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.