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Finding the Fourth Proportional to 9,592.96, 14,385.76 and 3,748.96

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Solution

The fourth proportional to 9,592.96, 14,385.76 and 3,748.96 is: 5,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.96 : 14,385.76 = 3,748.96 : x
  2. Step 2: Convert to fraction form
    9,592.96/14,385.76 = 3,748.96/x
  3. Step 3: Cross multiply
    9,592.96x = 14,385.76 × 3,748.96
  4. Step 4: Simplify right side
    9,592.96x = 53,931,638.81
  5. Step 5: Solve for x
    x = 53,931,638.81/9,592.96
  6. Step 6: Final answer
    x = 5,622.00

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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.