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Finding the Fourth Proportional to 9,154, 12,632.32 and 6,010

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Solution

The fourth proportional to 9,154, 12,632.32 and 6,010 is: 8,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 12,632.32 = 6,010 : x
  2. Step 2: Convert to fraction form
    9,154/12,632.32 = 6,010/x
  3. Step 3: Cross multiply
    9,154x = 12,632.32 × 6,010
  4. Step 4: Simplify right side
    9,154x = 75,920,243.20
  5. Step 5: Solve for x
    x = 75,920,243.20/9,154
  6. Step 6: Final answer
    x = 8,293.67

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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.