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Finding the Fourth Proportional to 9,533.53, 13,155.82 and 5,284.32

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Solution

The fourth proportional to 9,533.53, 13,155.82 and 5,284.32 is: 7,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.53 : 13,155.82 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    9,533.53/13,155.82 = 5,284.32/x
  3. Step 3: Cross multiply
    9,533.53x = 13,155.82 × 5,284.32
  4. Step 4: Simplify right side
    9,533.53x = 69,519,562.74
  5. Step 5: Solve for x
    x = 69,519,562.74/9,533.53
  6. Step 6: Final answer
    x = 7,292.11

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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.