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Finding the Fourth Proportional to 9,478.60, 13,083.08 and 5,501

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Solution

The fourth proportional to 9,478.60, 13,083.08 and 5,501 is: 7,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.60 : 13,083.08 = 5,501 : x
  2. Step 2: Convert to fraction form
    9,478.60/13,083.08 = 5,501/x
  3. Step 3: Cross multiply
    9,478.60x = 13,083.08 × 5,501
  4. Step 4: Simplify right side
    9,478.60x = 71,970,023.08
  5. Step 5: Solve for x
    x = 71,970,023.08/9,478.60
  6. Step 6: Final answer
    x = 7,592.90

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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.