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Finding the Fourth Proportional to 6,947.55, 9,567.41 and 6,038.66

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Solution

The fourth proportional to 6,947.55, 9,567.41 and 6,038.66 is: 8,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.55 : 9,567.41 = 6,038.66 : x
  2. Step 2: Convert to fraction form
    6,947.55/9,567.41 = 6,038.66/x
  3. Step 3: Cross multiply
    6,947.55x = 9,567.41 × 6,038.66
  4. Step 4: Simplify right side
    6,947.55x = 57,774,270.00
  5. Step 5: Solve for x
    x = 57,774,270.00/6,947.55
  6. Step 6: Final answer
    x = 8,315.77

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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.