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Finding the Fourth Proportional to 6,833.58, 9,429.15 and 4,038.06

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Solution

The fourth proportional to 6,833.58, 9,429.15 and 4,038.06 is: 5,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.58 : 9,429.15 = 4,038.06 : x
  2. Step 2: Convert to fraction form
    6,833.58/9,429.15 = 4,038.06/x
  3. Step 3: Cross multiply
    6,833.58x = 9,429.15 × 4,038.06
  4. Step 4: Simplify right side
    6,833.58x = 38,075,473.45
  5. Step 5: Solve for x
    x = 38,075,473.45/6,833.58
  6. Step 6: Final answer
    x = 5,571.82

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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.