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Finding the Fourth Proportional to 9,154.01, 13,722.82 and 4,766.45

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Solution

The fourth proportional to 9,154.01, 13,722.82 and 4,766.45 is: 7,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.01 : 13,722.82 = 4,766.45 : x
  2. Step 2: Convert to fraction form
    9,154.01/13,722.82 = 4,766.45/x
  3. Step 3: Cross multiply
    9,154.01x = 13,722.82 × 4,766.45
  4. Step 4: Simplify right side
    9,154.01x = 65,409,054.86
  5. Step 5: Solve for x
    x = 65,409,054.86/9,154.01
  6. Step 6: Final answer
    x = 7,145.40

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