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Finding the Fourth Proportional to 9,805.09, 13,531.32 and 6,030.47

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Solution

The fourth proportional to 9,805.09, 13,531.32 and 6,030.47 is: 8,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.09 : 13,531.32 = 6,030.47 : x
  2. Step 2: Convert to fraction form
    9,805.09/13,531.32 = 6,030.47/x
  3. Step 3: Cross multiply
    9,805.09x = 13,531.32 × 6,030.47
  4. Step 4: Simplify right side
    9,805.09x = 81,600,292.68
  5. Step 5: Solve for x
    x = 81,600,292.68/9,805.09
  6. Step 6: Final answer
    x = 8,322.24

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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.