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Finding the Fourth Proportional to 9,585.80, 14,378.70 and 9,167.60

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Solution

The fourth proportional to 9,585.80, 14,378.70 and 9,167.60 is: 13,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.80 : 14,378.70 = 9,167.60 : x
  2. Step 2: Convert to fraction form
    9,585.80/14,378.70 = 9,167.60/x
  3. Step 3: Cross multiply
    9,585.80x = 14,378.70 × 9,167.60
  4. Step 4: Simplify right side
    9,585.80x = 131,818,170.12
  5. Step 5: Solve for x
    x = 131,818,170.12/9,585.80
  6. Step 6: Final answer
    x = 13,751.40

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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.