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Finding the Fourth Proportional to 9,195.84, 12,690.27 and 5,004

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Solution

The fourth proportional to 9,195.84, 12,690.27 and 5,004 is: 6,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.84 : 12,690.27 = 5,004 : x
  2. Step 2: Convert to fraction form
    9,195.84/12,690.27 = 5,004/x
  3. Step 3: Cross multiply
    9,195.84x = 12,690.27 × 5,004
  4. Step 4: Simplify right side
    9,195.84x = 63,502,111.08
  5. Step 5: Solve for x
    x = 63,502,111.08/9,195.84
  6. Step 6: Final answer
    x = 6,905.53

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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.