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Finding the Fourth Proportional to 9,277.02, 12,807.72 and 6,095.39

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Solution

The fourth proportional to 9,277.02, 12,807.72 and 6,095.39 is: 8,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.02 : 12,807.72 = 6,095.39 : x
  2. Step 2: Convert to fraction form
    9,277.02/12,807.72 = 6,095.39/x
  3. Step 3: Cross multiply
    9,277.02x = 12,807.72 × 6,095.39
  4. Step 4: Simplify right side
    9,277.02x = 78,067,984.37
  5. Step 5: Solve for x
    x = 78,067,984.37/9,277.02
  6. Step 6: Final answer
    x = 8,415.20

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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.