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Finding the Fourth Proportional to 6,356.12, 9,577.19 and 5,284.40

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Solution

The fourth proportional to 6,356.12, 9,577.19 and 5,284.40 is: 7,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.12 : 9,577.19 = 5,284.40 : x
  2. Step 2: Convert to fraction form
    6,356.12/9,577.19 = 5,284.40/x
  3. Step 3: Cross multiply
    6,356.12x = 9,577.19 × 5,284.40
  4. Step 4: Simplify right side
    6,356.12x = 50,609,702.84
  5. Step 5: Solve for x
    x = 50,609,702.84/6,356.12
  6. Step 6: Final answer
    x = 7,962.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.