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Finding the Fourth Proportional to 9,854.44, 13,598.85 and 5,378.19

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Solution

The fourth proportional to 9,854.44, 13,598.85 and 5,378.19 is: 7,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.44 : 13,598.85 = 5,378.19 : x
  2. Step 2: Convert to fraction form
    9,854.44/13,598.85 = 5,378.19/x
  3. Step 3: Cross multiply
    9,854.44x = 13,598.85 × 5,378.19
  4. Step 4: Simplify right side
    9,854.44x = 73,137,199.08
  5. Step 5: Solve for x
    x = 73,137,199.08/9,854.44
  6. Step 6: Final answer
    x = 7,421.75

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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.