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Finding the Fourth Proportional to 9,748.12, 14,627.04 and 5,364.40

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Solution

The fourth proportional to 9,748.12, 14,627.04 and 5,364.40 is: 8,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.12 : 14,627.04 = 5,364.40 : x
  2. Step 2: Convert to fraction form
    9,748.12/14,627.04 = 5,364.40/x
  3. Step 3: Cross multiply
    9,748.12x = 14,627.04 × 5,364.40
  4. Step 4: Simplify right side
    9,748.12x = 78,465,293.38
  5. Step 5: Solve for x
    x = 78,465,293.38/9,748.12
  6. Step 6: Final answer
    x = 8,049.27

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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.