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Finding the Fourth Proportional to 9,315.98, 13,979 and 7,240.16

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Solution

The fourth proportional to 9,315.98, 13,979 and 7,240.16 is: 10,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.98 : 13,979 = 7,240.16 : x
  2. Step 2: Convert to fraction form
    9,315.98/13,979 = 7,240.16/x
  3. Step 3: Cross multiply
    9,315.98x = 13,979 × 7,240.16
  4. Step 4: Simplify right side
    9,315.98x = 101,210,196.64
  5. Step 5: Solve for x
    x = 101,210,196.64/9,315.98
  6. Step 6: Final answer
    x = 10,864.15

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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.