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Finding the Fourth Proportional to 7,002.90, 9,665.91 and 4,019.00

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Solution

The fourth proportional to 7,002.90, 9,665.91 and 4,019.00 is: 5,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.90 : 9,665.91 = 4,019.00 : x
  2. Step 2: Convert to fraction form
    7,002.90/9,665.91 = 4,019.00/x
  3. Step 3: Cross multiply
    7,002.90x = 9,665.91 × 4,019.00
  4. Step 4: Simplify right side
    7,002.90x = 38,847,243.96
  5. Step 5: Solve for x
    x = 38,847,243.96/7,002.90
  6. Step 6: Final answer
    x = 5,547.31

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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.