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Finding the Fourth Proportional to 6,430.62, 9,645.82 and 2,048.02

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Solution

The fourth proportional to 6,430.62, 9,645.82 and 2,048.02 is: 3,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.62 : 9,645.82 = 2,048.02 : x
  2. Step 2: Convert to fraction form
    6,430.62/9,645.82 = 2,048.02/x
  3. Step 3: Cross multiply
    6,430.62x = 9,645.82 × 2,048.02
  4. Step 4: Simplify right side
    6,430.62x = 19,754,803.04
  5. Step 5: Solve for x
    x = 19,754,803.04/6,430.62
  6. Step 6: Final answer
    x = 3,071.99

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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.