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Finding the Fourth Proportional to 7,123.89, 9,830.66 and 3,980.01

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Solution

The fourth proportional to 7,123.89, 9,830.66 and 3,980.01 is: 5,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.89 : 9,830.66 = 3,980.01 : x
  2. Step 2: Convert to fraction form
    7,123.89/9,830.66 = 3,980.01/x
  3. Step 3: Cross multiply
    7,123.89x = 9,830.66 × 3,980.01
  4. Step 4: Simplify right side
    7,123.89x = 39,126,105.21
  5. Step 5: Solve for x
    x = 39,126,105.21/7,123.89
  6. Step 6: Final answer
    x = 5,492.24

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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.