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Finding the Fourth Proportional to 9,548.96, 14,323.12 and 4,354.80

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Solution

The fourth proportional to 9,548.96, 14,323.12 and 4,354.80 is: 6,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.96 : 14,323.12 = 4,354.80 : x
  2. Step 2: Convert to fraction form
    9,548.96/14,323.12 = 4,354.80/x
  3. Step 3: Cross multiply
    9,548.96x = 14,323.12 × 4,354.80
  4. Step 4: Simplify right side
    9,548.96x = 62,374,322.98
  5. Step 5: Solve for x
    x = 62,374,322.98/9,548.96
  6. Step 6: Final answer
    x = 6,532.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.