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Finding the Fourth Proportional to 9,412.30, 12,981.72 and 6,893.51

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Solution

The fourth proportional to 9,412.30, 12,981.72 and 6,893.51 is: 9,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.30 : 12,981.72 = 6,893.51 : x
  2. Step 2: Convert to fraction form
    9,412.30/12,981.72 = 6,893.51/x
  3. Step 3: Cross multiply
    9,412.30x = 12,981.72 × 6,893.51
  4. Step 4: Simplify right side
    9,412.30x = 89,489,538.80
  5. Step 5: Solve for x
    x = 89,489,538.80/9,412.30
  6. Step 6: Final answer
    x = 9,507.72

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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.