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Finding the Fourth Proportional to 9,522.69, 14,283.62 and 2,597.19

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Solution

The fourth proportional to 9,522.69, 14,283.62 and 2,597.19 is: 3,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.69 : 14,283.62 = 2,597.19 : x
  2. Step 2: Convert to fraction form
    9,522.69/14,283.62 = 2,597.19/x
  3. Step 3: Cross multiply
    9,522.69x = 14,283.62 × 2,597.19
  4. Step 4: Simplify right side
    9,522.69x = 37,097,275.03
  5. Step 5: Solve for x
    x = 37,097,275.03/9,522.69
  6. Step 6: Final answer
    x = 3,895.67

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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.