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Finding the Fourth Proportional to 6,883.40, 9,477.51 and 6,075.02

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Solution

The fourth proportional to 6,883.40, 9,477.51 and 6,075.02 is: 8,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.40 : 9,477.51 = 6,075.02 : x
  2. Step 2: Convert to fraction form
    6,883.40/9,477.51 = 6,075.02/x
  3. Step 3: Cross multiply
    6,883.40x = 9,477.51 × 6,075.02
  4. Step 4: Simplify right side
    6,883.40x = 57,576,062.80
  5. Step 5: Solve for x
    x = 57,576,062.80/6,883.40
  6. Step 6: Final answer
    x = 8,364.48

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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.