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Finding the Fourth Proportional to 9,407.09, 12,952.23 and 7,987.79

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Solution

The fourth proportional to 9,407.09, 12,952.23 and 7,987.79 is: 10,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.09 : 12,952.23 = 7,987.79 : x
  2. Step 2: Convert to fraction form
    9,407.09/12,952.23 = 7,987.79/x
  3. Step 3: Cross multiply
    9,407.09x = 12,952.23 × 7,987.79
  4. Step 4: Simplify right side
    9,407.09x = 103,459,693.27
  5. Step 5: Solve for x
    x = 103,459,693.27/9,407.09
  6. Step 6: Final answer
    x = 10,998.06

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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.