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Finding the Fourth Proportional to 9,154.90, 13,732.35 and 4,223.08

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Solution

The fourth proportional to 9,154.90, 13,732.35 and 4,223.08 is: 6,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.90 : 13,732.35 = 4,223.08 : x
  2. Step 2: Convert to fraction form
    9,154.90/13,732.35 = 4,223.08/x
  3. Step 3: Cross multiply
    9,154.90x = 13,732.35 × 4,223.08
  4. Step 4: Simplify right side
    9,154.90x = 57,992,812.64
  5. Step 5: Solve for x
    x = 57,992,812.64/9,154.90
  6. Step 6: Final answer
    x = 6,334.62

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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.