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Finding the Fourth Proportional to 9,859.55, 13,607.46 and 6,509.39

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Solution

The fourth proportional to 9,859.55, 13,607.46 and 6,509.39 is: 8,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.55 : 13,607.46 = 6,509.39 : x
  2. Step 2: Convert to fraction form
    9,859.55/13,607.46 = 6,509.39/x
  3. Step 3: Cross multiply
    9,859.55x = 13,607.46 × 6,509.39
  4. Step 4: Simplify right side
    9,859.55x = 88,576,196.01
  5. Step 5: Solve for x
    x = 88,576,196.01/9,859.55
  6. Step 6: Final answer
    x = 8,983.80

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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.