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Finding the Fourth Proportional to 9,471.49, 13,070.40 and 5,492.35

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Solution

The fourth proportional to 9,471.49, 13,070.40 and 5,492.35 is: 7,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.49 : 13,070.40 = 5,492.35 : x
  2. Step 2: Convert to fraction form
    9,471.49/13,070.40 = 5,492.35/x
  3. Step 3: Cross multiply
    9,471.49x = 13,070.40 × 5,492.35
  4. Step 4: Simplify right side
    9,471.49x = 71,787,211.44
  5. Step 5: Solve for x
    x = 71,787,211.44/9,471.49
  6. Step 6: Final answer
    x = 7,579.29

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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.