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Finding the Fourth Proportional to 9,281.42, 12,807.99 and 5,089.67

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Solution

The fourth proportional to 9,281.42, 12,807.99 and 5,089.67 is: 7,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.42 : 12,807.99 = 5,089.67 : x
  2. Step 2: Convert to fraction form
    9,281.42/12,807.99 = 5,089.67/x
  3. Step 3: Cross multiply
    9,281.42x = 12,807.99 × 5,089.67
  4. Step 4: Simplify right side
    9,281.42x = 65,188,442.46
  5. Step 5: Solve for x
    x = 65,188,442.46/9,281.42
  6. Step 6: Final answer
    x = 7,023.54

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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.