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Finding the Fourth Proportional to 9,138.54, 13,705.02 and 4,753.62

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Solution

The fourth proportional to 9,138.54, 13,705.02 and 4,753.62 is: 7,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.54 : 13,705.02 = 4,753.62 : x
  2. Step 2: Convert to fraction form
    9,138.54/13,705.02 = 4,753.62/x
  3. Step 3: Cross multiply
    9,138.54x = 13,705.02 × 4,753.62
  4. Step 4: Simplify right side
    9,138.54x = 65,148,457.17
  5. Step 5: Solve for x
    x = 65,148,457.17/9,138.54
  6. Step 6: Final answer
    x = 7,128.98

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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.