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Finding the Fourth Proportional to 9,885.15, 13,641.50 and 5,408.93

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Solution

The fourth proportional to 9,885.15, 13,641.50 and 5,408.93 is: 7,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.15 : 13,641.50 = 5,408.93 : x
  2. Step 2: Convert to fraction form
    9,885.15/13,641.50 = 5,408.93/x
  3. Step 3: Cross multiply
    9,885.15x = 13,641.50 × 5,408.93
  4. Step 4: Simplify right side
    9,885.15x = 73,785,966.22
  5. Step 5: Solve for x
    x = 73,785,966.22/9,885.15
  6. Step 6: Final answer
    x = 7,464.32

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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.