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Finding the Fourth Proportional to 6,492.98, 9,738.07 and 2,051.00

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Solution

The fourth proportional to 6,492.98, 9,738.07 and 2,051.00 is: 3,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.98 : 9,738.07 = 2,051.00 : x
  2. Step 2: Convert to fraction form
    6,492.98/9,738.07 = 2,051.00/x
  3. Step 3: Cross multiply
    6,492.98x = 9,738.07 × 2,051.00
  4. Step 4: Simplify right side
    6,492.98x = 19,972,748.42
  5. Step 5: Solve for x
    x = 19,972,748.42/6,492.98
  6. Step 6: Final answer
    x = 3,076.05

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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.