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Finding the Fourth Proportional to 6,833.60, 9,426.95 and 4,595.57

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Solution

The fourth proportional to 6,833.60, 9,426.95 and 4,595.57 is: 6,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.60 : 9,426.95 = 4,595.57 : x
  2. Step 2: Convert to fraction form
    6,833.60/9,426.95 = 4,595.57/x
  3. Step 3: Cross multiply
    6,833.60x = 9,426.95 × 4,595.57
  4. Step 4: Simplify right side
    6,833.60x = 43,322,138.50
  5. Step 5: Solve for x
    x = 43,322,138.50/6,833.60
  6. Step 6: Final answer
    x = 6,339.58

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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.