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Finding the Fourth Proportional to 9,533.77, 13,157.02 and 5,284.82

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Solution

The fourth proportional to 9,533.77, 13,157.02 and 5,284.82 is: 7,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.77 : 13,157.02 = 5,284.82 : x
  2. Step 2: Convert to fraction form
    9,533.77/13,157.02 = 5,284.82/x
  3. Step 3: Cross multiply
    9,533.77x = 13,157.02 × 5,284.82
  4. Step 4: Simplify right side
    9,533.77x = 69,532,482.44
  5. Step 5: Solve for x
    x = 69,532,482.44/9,533.77
  6. Step 6: Final answer
    x = 7,293.28

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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.