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Finding the Fourth Proportional to 9,781.12, 13,498.32 and 5,804.32

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Solution

The fourth proportional to 9,781.12, 13,498.32 and 5,804.32 is: 8,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.12 : 13,498.32 = 5,804.32 : x
  2. Step 2: Convert to fraction form
    9,781.12/13,498.32 = 5,804.32/x
  3. Step 3: Cross multiply
    9,781.12x = 13,498.32 × 5,804.32
  4. Step 4: Simplify right side
    9,781.12x = 78,348,568.74
  5. Step 5: Solve for x
    x = 78,348,568.74/9,781.12
  6. Step 6: Final answer
    x = 8,010.18

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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.