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Finding the Fourth Proportional to 9,844.96, 13,586.08 and 5,368.64

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Solution

The fourth proportional to 9,844.96, 13,586.08 and 5,368.64 is: 7,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.96 : 13,586.08 = 5,368.64 : x
  2. Step 2: Convert to fraction form
    9,844.96/13,586.08 = 5,368.64/x
  3. Step 3: Cross multiply
    9,844.96x = 13,586.08 × 5,368.64
  4. Step 4: Simplify right side
    9,844.96x = 72,938,772.53
  5. Step 5: Solve for x
    x = 72,938,772.53/9,844.96
  6. Step 6: Final answer
    x = 7,408.74

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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.