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Finding the Fourth Proportional to 9,490.10, 13,094.30 and 5,509.08

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Solution

The fourth proportional to 9,490.10, 13,094.30 and 5,509.08 is: 7,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.10 : 13,094.30 = 5,509.08 : x
  2. Step 2: Convert to fraction form
    9,490.10/13,094.30 = 5,509.08/x
  3. Step 3: Cross multiply
    9,490.10x = 13,094.30 × 5,509.08
  4. Step 4: Simplify right side
    9,490.10x = 72,137,546.24
  5. Step 5: Solve for x
    x = 72,137,546.24/9,490.10
  6. Step 6: Final answer
    x = 7,601.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.