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Finding the Fourth Proportional to 6,430.37, 9,645.28 and 1,987.85

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Solution

The fourth proportional to 6,430.37, 9,645.28 and 1,987.85 is: 2,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.37 : 9,645.28 = 1,987.85 : x
  2. Step 2: Convert to fraction form
    6,430.37/9,645.28 = 1,987.85/x
  3. Step 3: Cross multiply
    6,430.37x = 9,645.28 × 1,987.85
  4. Step 4: Simplify right side
    6,430.37x = 19,173,388.99
  5. Step 5: Solve for x
    x = 19,173,388.99/6,430.37
  6. Step 6: Final answer
    x = 2,981.70

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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.