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Finding the Fourth Proportional to 9,019.12, 13,527.48 and 3,175

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Solution

The fourth proportional to 9,019.12, 13,527.48 and 3,175 is: 4,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.12 : 13,527.48 = 3,175 : x
  2. Step 2: Convert to fraction form
    9,019.12/13,527.48 = 3,175/x
  3. Step 3: Cross multiply
    9,019.12x = 13,527.48 × 3,175
  4. Step 4: Simplify right side
    9,019.12x = 42,949,749
  5. Step 5: Solve for x
    x = 42,949,749/9,019.12
  6. Step 6: Final answer
    x = 4,762.08

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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.