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Finding the Fourth Proportional to 9,209.70, 12,707.58 and 5,853.06

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Solution

The fourth proportional to 9,209.70, 12,707.58 and 5,853.06 is: 8,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.70 : 12,707.58 = 5,853.06 : x
  2. Step 2: Convert to fraction form
    9,209.70/12,707.58 = 5,853.06/x
  3. Step 3: Cross multiply
    9,209.70x = 12,707.58 × 5,853.06
  4. Step 4: Simplify right side
    9,209.70x = 74,378,228.19
  5. Step 5: Solve for x
    x = 74,378,228.19/9,209.70
  6. Step 6: Final answer
    x = 8,076.08

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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.