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Finding the Fourth Proportional to 6,509.96, 9,753.60 and 3,907.16

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Solution

The fourth proportional to 6,509.96, 9,753.60 and 3,907.16 is: 5,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.96 : 9,753.60 = 3,907.16 : x
  2. Step 2: Convert to fraction form
    6,509.96/9,753.60 = 3,907.16/x
  3. Step 3: Cross multiply
    6,509.96x = 9,753.60 × 3,907.16
  4. Step 4: Simplify right side
    6,509.96x = 38,108,875.78
  5. Step 5: Solve for x
    x = 38,108,875.78/6,509.96
  6. Step 6: Final answer
    x = 5,853.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.