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Finding the Fourth Proportional to 9,492.30, 13,096.49 and 5,512.64

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Solution

The fourth proportional to 9,492.30, 13,096.49 and 5,512.64 is: 7,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.30 : 13,096.49 = 5,512.64 : x
  2. Step 2: Convert to fraction form
    9,492.30/13,096.49 = 5,512.64/x
  3. Step 3: Cross multiply
    9,492.30x = 13,096.49 × 5,512.64
  4. Step 4: Simplify right side
    9,492.30x = 72,196,270.51
  5. Step 5: Solve for x
    x = 72,196,270.51/9,492.30
  6. Step 6: Final answer
    x = 7,605.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.