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Finding the Fourth Proportional to 9,712.06, 14,546.18 and 6,803.35

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Solution

The fourth proportional to 9,712.06, 14,546.18 and 6,803.35 is: 10,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.06 : 14,546.18 = 6,803.35 : x
  2. Step 2: Convert to fraction form
    9,712.06/14,546.18 = 6,803.35/x
  3. Step 3: Cross multiply
    9,712.06x = 14,546.18 × 6,803.35
  4. Step 4: Simplify right side
    9,712.06x = 98,962,734.35
  5. Step 5: Solve for x
    x = 98,962,734.35/9,712.06
  6. Step 6: Final answer
    x = 10,189.68

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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.