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Finding the Fourth Proportional to 7,152.98, 9,870.86 and 4,169.00

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Solution

The fourth proportional to 7,152.98, 9,870.86 and 4,169.00 is: 5,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.98 : 9,870.86 = 4,169.00 : x
  2. Step 2: Convert to fraction form
    7,152.98/9,870.86 = 4,169.00/x
  3. Step 3: Cross multiply
    7,152.98x = 9,870.86 × 4,169.00
  4. Step 4: Simplify right side
    7,152.98x = 41,151,650.44
  5. Step 5: Solve for x
    x = 41,151,650.44/7,152.98
  6. Step 6: Final answer
    x = 5,753.08

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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.