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Finding the Fourth Proportional to 9,198.54, 12,669.81 and 7,070.00

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Solution

The fourth proportional to 9,198.54, 12,669.81 and 7,070.00 is: 9,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.54 : 12,669.81 = 7,070.00 : x
  2. Step 2: Convert to fraction form
    9,198.54/12,669.81 = 7,070.00/x
  3. Step 3: Cross multiply
    9,198.54x = 12,669.81 × 7,070.00
  4. Step 4: Simplify right side
    9,198.54x = 89,575,575.81
  5. Step 5: Solve for x
    x = 89,575,575.81/9,198.54
  6. Step 6: Final answer
    x = 9,738.02

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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.