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Finding the Fourth Proportional to 9,547.75, 14,302.14 and 5,846.86

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Solution

The fourth proportional to 9,547.75, 14,302.14 and 5,846.86 is: 8,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.75 : 14,302.14 = 5,846.86 : x
  2. Step 2: Convert to fraction form
    9,547.75/14,302.14 = 5,846.86/x
  3. Step 3: Cross multiply
    9,547.75x = 14,302.14 × 5,846.86
  4. Step 4: Simplify right side
    9,547.75x = 83,622,610.28
  5. Step 5: Solve for x
    x = 83,622,610.28/9,547.75
  6. Step 6: Final answer
    x = 8,758.36

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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.