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Finding the Fourth Proportional to 9,195.93, 12,689.87 and 5,004.18

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Solution

The fourth proportional to 9,195.93, 12,689.87 and 5,004.18 is: 6,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.93 : 12,689.87 = 5,004.18 : x
  2. Step 2: Convert to fraction form
    9,195.93/12,689.87 = 5,004.18/x
  3. Step 3: Cross multiply
    9,195.93x = 12,689.87 × 5,004.18
  4. Step 4: Simplify right side
    9,195.93x = 63,502,368.64
  5. Step 5: Solve for x
    x = 63,502,368.64/9,195.93
  6. Step 6: Final answer
    x = 6,905.49

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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.