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Finding the Fourth Proportional to 9,065.30, 13,598.29 and 2,492

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Solution

The fourth proportional to 9,065.30, 13,598.29 and 2,492 is: 3,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.30 : 13,598.29 = 2,492 : x
  2. Step 2: Convert to fraction form
    9,065.30/13,598.29 = 2,492/x
  3. Step 3: Cross multiply
    9,065.30x = 13,598.29 × 2,492
  4. Step 4: Simplify right side
    9,065.30x = 33,886,926.22
  5. Step 5: Solve for x
    x = 33,886,926.22/9,065.30
  6. Step 6: Final answer
    x = 3,738.09

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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.