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Finding the Fourth Proportional to 9,490.10, 13,095.20 and 5,713.20

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Solution

The fourth proportional to 9,490.10, 13,095.20 and 5,713.20 is: 7,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.10 : 13,095.20 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    9,490.10/13,095.20 = 5,713.20/x
  3. Step 3: Cross multiply
    9,490.10x = 13,095.20 × 5,713.20
  4. Step 4: Simplify right side
    9,490.10x = 74,815,510.92
  5. Step 5: Solve for x
    x = 74,815,510.92/9,490.10
  6. Step 6: Final answer
    x = 7,883.54

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1.5x scale

Why These Related Problems?

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