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Finding the Fourth Proportional to 7,137.40, 9,852.06 and 4,306.36

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Solution

The fourth proportional to 7,137.40, 9,852.06 and 4,306.36 is: 5,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.40 : 9,852.06 = 4,306.36 : x
  2. Step 2: Convert to fraction form
    7,137.40/9,852.06 = 4,306.36/x
  3. Step 3: Cross multiply
    7,137.40x = 9,852.06 × 4,306.36
  4. Step 4: Simplify right side
    7,137.40x = 42,426,517.10
  5. Step 5: Solve for x
    x = 42,426,517.10/7,137.40
  6. Step 6: Final answer
    x = 5,944.25

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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.