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Finding the Fourth Proportional to 9,189.63, 12,681.63 and 4,997.88

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Solution

The fourth proportional to 9,189.63, 12,681.63 and 4,997.88 is: 6,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.63 : 12,681.63 = 4,997.88 : x
  2. Step 2: Convert to fraction form
    9,189.63/12,681.63 = 4,997.88/x
  3. Step 3: Cross multiply
    9,189.63x = 12,681.63 × 4,997.88
  4. Step 4: Simplify right side
    9,189.63x = 63,381,264.94
  5. Step 5: Solve for x
    x = 63,381,264.94/9,189.63
  6. Step 6: Final answer
    x = 6,897.04

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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.