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Finding the Fourth Proportional to 9,585.40, 14,378.10 and 3,012.16

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Solution

The fourth proportional to 9,585.40, 14,378.10 and 3,012.16 is: 4,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.40 : 14,378.10 = 3,012.16 : x
  2. Step 2: Convert to fraction form
    9,585.40/14,378.10 = 3,012.16/x
  3. Step 3: Cross multiply
    9,585.40x = 14,378.10 × 3,012.16
  4. Step 4: Simplify right side
    9,585.40x = 43,309,050.74
  5. Step 5: Solve for x
    x = 43,309,050.74/9,585.40
  6. Step 6: Final answer
    x = 4,518.23

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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.