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Finding the Fourth Proportional to 9,130.65, 13,697.25 and 2,890

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Solution

The fourth proportional to 9,130.65, 13,697.25 and 2,890 is: 4,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.65 : 13,697.25 = 2,890 : x
  2. Step 2: Convert to fraction form
    9,130.65/13,697.25 = 2,890/x
  3. Step 3: Cross multiply
    9,130.65x = 13,697.25 × 2,890
  4. Step 4: Simplify right side
    9,130.65x = 39,585,052.50
  5. Step 5: Solve for x
    x = 39,585,052.50/9,130.65
  6. Step 6: Final answer
    x = 4,335.40

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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.