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Finding the Fourth Proportional to 6,535.95, 9,798.46 and 4,555.77

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Solution

The fourth proportional to 6,535.95, 9,798.46 and 4,555.77 is: 6,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.95 : 9,798.46 = 4,555.77 : x
  2. Step 2: Convert to fraction form
    6,535.95/9,798.46 = 4,555.77/x
  3. Step 3: Cross multiply
    6,535.95x = 9,798.46 × 4,555.77
  4. Step 4: Simplify right side
    6,535.95x = 44,639,507.34
  5. Step 5: Solve for x
    x = 44,639,507.34/6,535.95
  6. Step 6: Final answer
    x = 6,829.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.