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Finding the Fourth Proportional to 9,407.98, 12,980.94 and 5,428.25

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Solution

The fourth proportional to 9,407.98, 12,980.94 and 5,428.25 is: 7,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.98 : 12,980.94 = 5,428.25 : x
  2. Step 2: Convert to fraction form
    9,407.98/12,980.94 = 5,428.25/x
  3. Step 3: Cross multiply
    9,407.98x = 12,980.94 × 5,428.25
  4. Step 4: Simplify right side
    9,407.98x = 70,463,781.51
  5. Step 5: Solve for x
    x = 70,463,781.51/9,407.98
  6. Step 6: Final answer
    x = 7,489.79

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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.