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Finding the Fourth Proportional to 9,402.56, 12,975.54 and 5,210.81

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Solution

The fourth proportional to 9,402.56, 12,975.54 and 5,210.81 is: 7,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.56 : 12,975.54 = 5,210.81 : x
  2. Step 2: Convert to fraction form
    9,402.56/12,975.54 = 5,210.81/x
  3. Step 3: Cross multiply
    9,402.56x = 12,975.54 × 5,210.81
  4. Step 4: Simplify right side
    9,402.56x = 67,613,073.59
  5. Step 5: Solve for x
    x = 67,613,073.59/9,402.56
  6. Step 6: Final answer
    x = 7,190.92

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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.