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Finding the Fourth Proportional to 9,472.36, 13,070.37 and 5,492.65

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Solution

The fourth proportional to 9,472.36, 13,070.37 and 5,492.65 is: 7,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.36 : 13,070.37 = 5,492.65 : x
  2. Step 2: Convert to fraction form
    9,472.36/13,070.37 = 5,492.65/x
  3. Step 3: Cross multiply
    9,472.36x = 13,070.37 × 5,492.65
  4. Step 4: Simplify right side
    9,472.36x = 71,790,967.78
  5. Step 5: Solve for x
    x = 71,790,967.78/9,472.36
  6. Step 6: Final answer
    x = 7,578.99

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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.