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Finding the Fourth Proportional to 9,180.01, 13,733.97 and 7,084.18

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Solution

The fourth proportional to 9,180.01, 13,733.97 and 7,084.18 is: 10,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.01 : 13,733.97 = 7,084.18 : x
  2. Step 2: Convert to fraction form
    9,180.01/13,733.97 = 7,084.18/x
  3. Step 3: Cross multiply
    9,180.01x = 13,733.97 × 7,084.18
  4. Step 4: Simplify right side
    9,180.01x = 97,293,915.59
  5. Step 5: Solve for x
    x = 97,293,915.59/9,180.01
  6. Step 6: Final answer
    x = 10,598.45

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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.