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Finding the Fourth Proportional to 9,844.64, 13,585.30 and 5,368.48

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Solution

The fourth proportional to 9,844.64, 13,585.30 and 5,368.48 is: 7,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.64 : 13,585.30 = 5,368.48 : x
  2. Step 2: Convert to fraction form
    9,844.64/13,585.30 = 5,368.48/x
  3. Step 3: Cross multiply
    9,844.64x = 13,585.30 × 5,368.48
  4. Step 4: Simplify right side
    9,844.64x = 72,932,363.96
  5. Step 5: Solve for x
    x = 72,932,363.96/9,844.64
  6. Step 6: Final answer
    x = 7,408.34

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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.