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Finding the Fourth Proportional to 9,522.67, 14,293.24 and 4,595.78

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Solution

The fourth proportional to 9,522.67, 14,293.24 and 4,595.78 is: 6,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.67 : 14,293.24 = 4,595.78 : x
  2. Step 2: Convert to fraction form
    9,522.67/14,293.24 = 4,595.78/x
  3. Step 3: Cross multiply
    9,522.67x = 14,293.24 × 4,595.78
  4. Step 4: Simplify right side
    9,522.67x = 65,688,503.57
  5. Step 5: Solve for x
    x = 65,688,503.57/9,522.67
  6. Step 6: Final answer
    x = 6,898.12

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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.