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Finding the Fourth Proportional to 9,589.74, 14,377.96 and 4,038.58

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Solution

The fourth proportional to 9,589.74, 14,377.96 and 4,038.58 is: 6,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.74 : 14,377.96 = 4,038.58 : x
  2. Step 2: Convert to fraction form
    9,589.74/14,377.96 = 4,038.58/x
  3. Step 3: Cross multiply
    9,589.74x = 14,377.96 × 4,038.58
  4. Step 4: Simplify right side
    9,589.74x = 58,066,541.70
  5. Step 5: Solve for x
    x = 58,066,541.70/9,589.74
  6. Step 6: Final answer
    x = 6,055.07

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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.