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Finding the Fourth Proportional to 9,703.16, 13,386.30 and 5,975

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Solution

The fourth proportional to 9,703.16, 13,386.30 and 5,975 is: 8,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.16 : 13,386.30 = 5,975 : x
  2. Step 2: Convert to fraction form
    9,703.16/13,386.30 = 5,975/x
  3. Step 3: Cross multiply
    9,703.16x = 13,386.30 × 5,975
  4. Step 4: Simplify right side
    9,703.16x = 79,983,142.50
  5. Step 5: Solve for x
    x = 79,983,142.50/9,703.16
  6. Step 6: Final answer
    x = 8,243.00

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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.