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Finding the Fourth Proportional to 6,088.85, 9,129.74 and 2,386.74

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Solution

The fourth proportional to 6,088.85, 9,129.74 and 2,386.74 is: 3,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.85 : 9,129.74 = 2,386.74 : x
  2. Step 2: Convert to fraction form
    6,088.85/9,129.74 = 2,386.74/x
  3. Step 3: Cross multiply
    6,088.85x = 9,129.74 × 2,386.74
  4. Step 4: Simplify right side
    6,088.85x = 21,790,303.71
  5. Step 5: Solve for x
    x = 21,790,303.71/6,088.85
  6. Step 6: Final answer
    x = 3,578.73

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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.