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Finding the Fourth Proportional to 9,402.45, 12,975.33 and 5,210.70

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Solution

The fourth proportional to 9,402.45, 12,975.33 and 5,210.70 is: 7,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.45 : 12,975.33 = 5,210.70 : x
  2. Step 2: Convert to fraction form
    9,402.45/12,975.33 = 5,210.70/x
  3. Step 3: Cross multiply
    9,402.45x = 12,975.33 × 5,210.70
  4. Step 4: Simplify right side
    9,402.45x = 67,610,552.03
  5. Step 5: Solve for x
    x = 67,610,552.03/9,402.45
  6. Step 6: Final answer
    x = 7,190.74

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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.