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Finding the Fourth Proportional to 9,402.32, 12,975.72 and 5,210.48

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Solution

The fourth proportional to 9,402.32, 12,975.72 and 5,210.48 is: 7,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.32 : 12,975.72 = 5,210.48 : x
  2. Step 2: Convert to fraction form
    9,402.32/12,975.72 = 5,210.48/x
  3. Step 3: Cross multiply
    9,402.32x = 12,975.72 × 5,210.48
  4. Step 4: Simplify right side
    9,402.32x = 67,609,729.55
  5. Step 5: Solve for x
    x = 67,609,729.55/9,402.32
  6. Step 6: Final answer
    x = 7,190.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.