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Finding the Fourth Proportional to 9,130.10, 13,697.19 and 2,890.47

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Solution

The fourth proportional to 9,130.10, 13,697.19 and 2,890.47 is: 4,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.10 : 13,697.19 = 2,890.47 : x
  2. Step 2: Convert to fraction form
    9,130.10/13,697.19 = 2,890.47/x
  3. Step 3: Cross multiply
    9,130.10x = 13,697.19 × 2,890.47
  4. Step 4: Simplify right side
    9,130.10x = 39,591,316.78
  5. Step 5: Solve for x
    x = 39,591,316.78/9,130.10
  6. Step 6: Final answer
    x = 4,336.35

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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.