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Finding the Fourth Proportional to 9,522.65, 14,288.02 and 5,135.00

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Solution

The fourth proportional to 9,522.65, 14,288.02 and 5,135.00 is: 7,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.65 : 14,288.02 = 5,135.00 : x
  2. Step 2: Convert to fraction form
    9,522.65/14,288.02 = 5,135.00/x
  3. Step 3: Cross multiply
    9,522.65x = 14,288.02 × 5,135.00
  4. Step 4: Simplify right side
    9,522.65x = 73,368,898.42
  5. Step 5: Solve for x
    x = 73,368,898.42/9,522.65
  6. Step 6: Final answer
    x = 7,704.67

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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.