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Finding the Fourth Proportional to 9,522.50, 14,283.90 and 2,948.67

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Solution

The fourth proportional to 9,522.50, 14,283.90 and 2,948.67 is: 4,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.50 : 14,283.90 = 2,948.67 : x
  2. Step 2: Convert to fraction form
    9,522.50/14,283.90 = 2,948.67/x
  3. Step 3: Cross multiply
    9,522.50x = 14,283.90 × 2,948.67
  4. Step 4: Simplify right side
    9,522.50x = 42,118,507.41
  5. Step 5: Solve for x
    x = 42,118,507.41/9,522.50
  6. Step 6: Final answer
    x = 4,423.05

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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.