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Finding the Fourth Proportional to 9,494.75, 13,102.80 and 5,303.00

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Solution

The fourth proportional to 9,494.75, 13,102.80 and 5,303.00 is: 7,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.75 : 13,102.80 = 5,303.00 : x
  2. Step 2: Convert to fraction form
    9,494.75/13,102.80 = 5,303.00/x
  3. Step 3: Cross multiply
    9,494.75x = 13,102.80 × 5,303.00
  4. Step 4: Simplify right side
    9,494.75x = 69,484,181.16
  5. Step 5: Solve for x
    x = 69,484,181.16/9,494.75
  6. Step 6: Final answer
    x = 7,318.17

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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.