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Finding the Fourth Proportional to 6,260.19, 9,389.94 and 1,580.14

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Solution

The fourth proportional to 6,260.19, 9,389.94 and 1,580.14 is: 2,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.19 : 9,389.94 = 1,580.14 : x
  2. Step 2: Convert to fraction form
    6,260.19/9,389.94 = 1,580.14/x
  3. Step 3: Cross multiply
    6,260.19x = 9,389.94 × 1,580.14
  4. Step 4: Simplify right side
    6,260.19x = 14,837,419.79
  5. Step 5: Solve for x
    x = 14,837,419.79/6,260.19
  6. Step 6: Final answer
    x = 2,370.12

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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.