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Finding the Fourth Proportional to 9,019.90, 13,509.68 and 5,215.88

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Solution

The fourth proportional to 9,019.90, 13,509.68 and 5,215.88 is: 7,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.90 : 13,509.68 = 5,215.88 : x
  2. Step 2: Convert to fraction form
    9,019.90/13,509.68 = 5,215.88/x
  3. Step 3: Cross multiply
    9,019.90x = 13,509.68 × 5,215.88
  4. Step 4: Simplify right side
    9,019.90x = 70,464,869.72
  5. Step 5: Solve for x
    x = 70,464,869.72/9,019.90
  6. Step 6: Final answer
    x = 7,812.16

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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.