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Finding the Fourth Proportional to 9,298.60, 12,794.16 and 7,199.08

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Solution

The fourth proportional to 9,298.60, 12,794.16 and 7,199.08 is: 9,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.60 : 12,794.16 = 7,199.08 : x
  2. Step 2: Convert to fraction form
    9,298.60/12,794.16 = 7,199.08/x
  3. Step 3: Cross multiply
    9,298.60x = 12,794.16 × 7,199.08
  4. Step 4: Simplify right side
    9,298.60x = 92,106,181.37
  5. Step 5: Solve for x
    x = 92,106,181.37/9,298.60
  6. Step 6: Final answer
    x = 9,905.38

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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.