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Finding the Fourth Proportional to 9,644.04, 13,303.98 and 6,494.76

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Solution

The fourth proportional to 9,644.04, 13,303.98 and 6,494.76 is: 8,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.04 : 13,303.98 = 6,494.76 : x
  2. Step 2: Convert to fraction form
    9,644.04/13,303.98 = 6,494.76/x
  3. Step 3: Cross multiply
    9,644.04x = 13,303.98 × 6,494.76
  4. Step 4: Simplify right side
    9,644.04x = 86,406,157.14
  5. Step 5: Solve for x
    x = 86,406,157.14/9,644.04
  6. Step 6: Final answer
    x = 8,959.54

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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.