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Finding the Fourth Proportional to 7,123.04, 9,834 and 5,138.72

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Solution

The fourth proportional to 7,123.04, 9,834 and 5,138.72 is: 7,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.04 : 9,834 = 5,138.72 : x
  2. Step 2: Convert to fraction form
    7,123.04/9,834 = 5,138.72/x
  3. Step 3: Cross multiply
    7,123.04x = 9,834 × 5,138.72
  4. Step 4: Simplify right side
    7,123.04x = 50,534,172.48
  5. Step 5: Solve for x
    x = 50,534,172.48/7,123.04
  6. Step 6: Final answer
    x = 7,094.47

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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.