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Finding the Fourth Proportional to 9,585.63, 14,382.23 and 6,298.11

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Solution

The fourth proportional to 9,585.63, 14,382.23 and 6,298.11 is: 9,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.63 : 14,382.23 = 6,298.11 : x
  2. Step 2: Convert to fraction form
    9,585.63/14,382.23 = 6,298.11/x
  3. Step 3: Cross multiply
    9,585.63x = 14,382.23 × 6,298.11
  4. Step 4: Simplify right side
    9,585.63x = 90,580,866.59
  5. Step 5: Solve for x
    x = 90,580,866.59/9,585.63
  6. Step 6: Final answer
    x = 9,449.65

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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.