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Finding the Fourth Proportional to 9,455.12, 13,055.72 and 6,099.60

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Solution

The fourth proportional to 9,455.12, 13,055.72 and 6,099.60 is: 8,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.12 : 13,055.72 = 6,099.60 : x
  2. Step 2: Convert to fraction form
    9,455.12/13,055.72 = 6,099.60/x
  3. Step 3: Cross multiply
    9,455.12x = 13,055.72 × 6,099.60
  4. Step 4: Simplify right side
    9,455.12x = 79,634,669.71
  5. Step 5: Solve for x
    x = 79,634,669.71/9,455.12
  6. Step 6: Final answer
    x = 8,422.39

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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.