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Finding the Fourth Proportional to 7,139.67, 9,852.83 and 4,307.19

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Solution

The fourth proportional to 7,139.67, 9,852.83 and 4,307.19 is: 5,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.67 : 9,852.83 = 4,307.19 : x
  2. Step 2: Convert to fraction form
    7,139.67/9,852.83 = 4,307.19/x
  3. Step 3: Cross multiply
    7,139.67x = 9,852.83 × 4,307.19
  4. Step 4: Simplify right side
    7,139.67x = 42,437,989.31
  5. Step 5: Solve for x
    x = 42,437,989.31/7,139.67
  6. Step 6: Final answer
    x = 5,943.97

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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.