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Finding the Fourth Proportional to 9,354.93, 12,907.11 and 5,768.67

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Solution

The fourth proportional to 9,354.93, 12,907.11 and 5,768.67 is: 7,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.93 : 12,907.11 = 5,768.67 : x
  2. Step 2: Convert to fraction form
    9,354.93/12,907.11 = 5,768.67/x
  3. Step 3: Cross multiply
    9,354.93x = 12,907.11 × 5,768.67
  4. Step 4: Simplify right side
    9,354.93x = 74,456,858.24
  5. Step 5: Solve for x
    x = 74,456,858.24/9,354.93
  6. Step 6: Final answer
    x = 7,959.10

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1.5x scale

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.