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Finding the Fourth Proportional to 9,719.64, 14,586.90 and 7,522.92

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Solution

The fourth proportional to 9,719.64, 14,586.90 and 7,522.92 is: 11,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.64 : 14,586.90 = 7,522.92 : x
  2. Step 2: Convert to fraction form
    9,719.64/14,586.90 = 7,522.92/x
  3. Step 3: Cross multiply
    9,719.64x = 14,586.90 × 7,522.92
  4. Step 4: Simplify right side
    9,719.64x = 109,736,081.75
  5. Step 5: Solve for x
    x = 109,736,081.75/9,719.64
  6. Step 6: Final answer
    x = 11,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.