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Finding the Fourth Proportional to 7,153.83, 9,870.89 and 3,967.00

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Solution

The fourth proportional to 7,153.83, 9,870.89 and 3,967.00 is: 5,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.83 : 9,870.89 = 3,967.00 : x
  2. Step 2: Convert to fraction form
    7,153.83/9,870.89 = 3,967.00/x
  3. Step 3: Cross multiply
    7,153.83x = 9,870.89 × 3,967.00
  4. Step 4: Simplify right side
    7,153.83x = 39,157,776.12
  5. Step 5: Solve for x
    x = 39,157,776.12/7,153.83
  6. Step 6: Final answer
    x = 5,473.68

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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.