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Finding the Fourth Proportional to 6,509.15, 8,977.19 and 4,269.30

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Solution

The fourth proportional to 6,509.15, 8,977.19 and 4,269.30 is: 5,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.15 : 8,977.19 = 4,269.30 : x
  2. Step 2: Convert to fraction form
    6,509.15/8,977.19 = 4,269.30/x
  3. Step 3: Cross multiply
    6,509.15x = 8,977.19 × 4,269.30
  4. Step 4: Simplify right side
    6,509.15x = 38,326,272.38
  5. Step 5: Solve for x
    x = 38,326,272.38/6,509.15
  6. Step 6: Final answer
    x = 5,888.06

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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.