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Finding the Fourth Proportional to 9,397.68, 12,970.32 and 5,418.08

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Solution

The fourth proportional to 9,397.68, 12,970.32 and 5,418.08 is: 7,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.68 : 12,970.32 = 5,418.08 : x
  2. Step 2: Convert to fraction form
    9,397.68/12,970.32 = 5,418.08/x
  3. Step 3: Cross multiply
    9,397.68x = 12,970.32 × 5,418.08
  4. Step 4: Simplify right side
    9,397.68x = 70,274,231.39
  5. Step 5: Solve for x
    x = 70,274,231.39/9,397.68
  6. Step 6: Final answer
    x = 7,477.83

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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.