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Finding the Fourth Proportional to 9,298.02, 12,830.38 and 5,520.54

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Solution

The fourth proportional to 9,298.02, 12,830.38 and 5,520.54 is: 7,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.02 : 12,830.38 = 5,520.54 : x
  2. Step 2: Convert to fraction form
    9,298.02/12,830.38 = 5,520.54/x
  3. Step 3: Cross multiply
    9,298.02x = 12,830.38 × 5,520.54
  4. Step 4: Simplify right side
    9,298.02x = 70,830,612.20
  5. Step 5: Solve for x
    x = 70,830,612.20/9,298.02
  6. Step 6: Final answer
    x = 7,617.82

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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.