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Finding the Fourth Proportional to 9,533.48, 14,304.30 and 4,919.72

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Solution

The fourth proportional to 9,533.48, 14,304.30 and 4,919.72 is: 7,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.48 : 14,304.30 = 4,919.72 : x
  2. Step 2: Convert to fraction form
    9,533.48/14,304.30 = 4,919.72/x
  3. Step 3: Cross multiply
    9,533.48x = 14,304.30 × 4,919.72
  4. Step 4: Simplify right side
    9,533.48x = 70,373,150.80
  5. Step 5: Solve for x
    x = 70,373,150.80/9,533.48
  6. Step 6: Final answer
    x = 7,381.69

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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.