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Finding the Fourth Proportional to 6,490.02, 9,735.23 and 2,047.72

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Solution

The fourth proportional to 6,490.02, 9,735.23 and 2,047.72 is: 3,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.02 : 9,735.23 = 2,047.72 : x
  2. Step 2: Convert to fraction form
    6,490.02/9,735.23 = 2,047.72/x
  3. Step 3: Cross multiply
    6,490.02x = 9,735.23 × 2,047.72
  4. Step 4: Simplify right side
    6,490.02x = 19,935,041.50
  5. Step 5: Solve for x
    x = 19,935,041.50/6,490.02
  6. Step 6: Final answer
    x = 3,071.65

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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.