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Finding the Fourth Proportional to 9,790.98, 13,509.21 and 5,598.18

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Solution

The fourth proportional to 9,790.98, 13,509.21 and 5,598.18 is: 7,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.98 : 13,509.21 = 5,598.18 : x
  2. Step 2: Convert to fraction form
    9,790.98/13,509.21 = 5,598.18/x
  3. Step 3: Cross multiply
    9,790.98x = 13,509.21 × 5,598.18
  4. Step 4: Simplify right side
    9,790.98x = 75,626,989.24
  5. Step 5: Solve for x
    x = 75,626,989.24/9,790.98
  6. Step 6: Final answer
    x = 7,724.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.