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Finding the Fourth Proportional to 9,154.67, 13,707.30 and 4,762.90

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Solution

The fourth proportional to 9,154.67, 13,707.30 and 4,762.90 is: 7,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.67 : 13,707.30 = 4,762.90 : x
  2. Step 2: Convert to fraction form
    9,154.67/13,707.30 = 4,762.90/x
  3. Step 3: Cross multiply
    9,154.67x = 13,707.30 × 4,762.90
  4. Step 4: Simplify right side
    9,154.67x = 65,286,499.17
  5. Step 5: Solve for x
    x = 65,286,499.17/9,154.67
  6. Step 6: Final answer
    x = 7,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.