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Finding the Fourth Proportional to 9,846.53, 13,587.67 and 5,597.00

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Solution

The fourth proportional to 9,846.53, 13,587.67 and 5,597.00 is: 7,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.53 : 13,587.67 = 5,597.00 : x
  2. Step 2: Convert to fraction form
    9,846.53/13,587.67 = 5,597.00/x
  3. Step 3: Cross multiply
    9,846.53x = 13,587.67 × 5,597.00
  4. Step 4: Simplify right side
    9,846.53x = 76,050,169.01
  5. Step 5: Solve for x
    x = 76,050,169.01/9,846.53
  6. Step 6: Final answer
    x = 7,723.55

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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.