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Finding the Fourth Proportional to 9,492, 13,098.83 and 5,515.35

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Solution

The fourth proportional to 9,492, 13,098.83 and 5,515.35 is: 7,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492 : 13,098.83 = 5,515.35 : x
  2. Step 2: Convert to fraction form
    9,492/13,098.83 = 5,515.35/x
  3. Step 3: Cross multiply
    9,492x = 13,098.83 × 5,515.35
  4. Step 4: Simplify right side
    9,492x = 72,244,604.46
  5. Step 5: Solve for x
    x = 72,244,604.46/9,492
  6. Step 6: Final answer
    x = 7,611.10

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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.