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Finding the Fourth Proportional to 9,533.72, 14,300.28 and 2,870.26

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Solution

The fourth proportional to 9,533.72, 14,300.28 and 2,870.26 is: 4,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.72 : 14,300.28 = 2,870.26 : x
  2. Step 2: Convert to fraction form
    9,533.72/14,300.28 = 2,870.26/x
  3. Step 3: Cross multiply
    9,533.72x = 14,300.28 × 2,870.26
  4. Step 4: Simplify right side
    9,533.72x = 41,045,485.92
  5. Step 5: Solve for x
    x = 41,045,485.92/9,533.72
  6. Step 6: Final answer
    x = 4,305.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.