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Finding the Fourth Proportional to 9,832.90, 14,746.77 and 6,712.33

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Solution

The fourth proportional to 9,832.90, 14,746.77 and 6,712.33 is: 10,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.90 : 14,746.77 = 6,712.33 : x
  2. Step 2: Convert to fraction form
    9,832.90/14,746.77 = 6,712.33/x
  3. Step 3: Cross multiply
    9,832.90x = 14,746.77 × 6,712.33
  4. Step 4: Simplify right side
    9,832.90x = 98,985,186.67
  5. Step 5: Solve for x
    x = 98,985,186.67/9,832.90
  6. Step 6: Final answer
    x = 10,066.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.