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Finding the Fourth Proportional to 9,189.75, 12,681.87 and 4,998

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Solution

The fourth proportional to 9,189.75, 12,681.87 and 4,998 is: 6,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.75 : 12,681.87 = 4,998 : x
  2. Step 2: Convert to fraction form
    9,189.75/12,681.87 = 4,998/x
  3. Step 3: Cross multiply
    9,189.75x = 12,681.87 × 4,998
  4. Step 4: Simplify right side
    9,189.75x = 63,383,986.26
  5. Step 5: Solve for x
    x = 63,383,986.26/9,189.75
  6. Step 6: Final answer
    x = 6,897.25

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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.