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Finding the Fourth Proportional to 6,534.06, 9,751.71 and 5,903.50

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Solution

The fourth proportional to 6,534.06, 9,751.71 and 5,903.50 is: 8,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.06 : 9,751.71 = 5,903.50 : x
  2. Step 2: Convert to fraction form
    6,534.06/9,751.71 = 5,903.50/x
  3. Step 3: Cross multiply
    6,534.06x = 9,751.71 × 5,903.50
  4. Step 4: Simplify right side
    6,534.06x = 57,569,171.23
  5. Step 5: Solve for x
    x = 57,569,171.23/6,534.06
  6. Step 6: Final answer
    x = 8,810.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.