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Finding the Fourth Proportional to 6,430.64, 9,634.95 and 3,510.99

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Solution

The fourth proportional to 6,430.64, 9,634.95 and 3,510.99 is: 5,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.64 : 9,634.95 = 3,510.99 : x
  2. Step 2: Convert to fraction form
    6,430.64/9,634.95 = 3,510.99/x
  3. Step 3: Cross multiply
    6,430.64x = 9,634.95 × 3,510.99
  4. Step 4: Simplify right side
    6,430.64x = 33,828,213.10
  5. Step 5: Solve for x
    x = 33,828,213.10/6,430.64
  6. Step 6: Final answer
    x = 5,260.47

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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.