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Finding the Fourth Proportional to 9,206.88, 13,810.16 and 4,011.52

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Solution

The fourth proportional to 9,206.88, 13,810.16 and 4,011.52 is: 6,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.88 : 13,810.16 = 4,011.52 : x
  2. Step 2: Convert to fraction form
    9,206.88/13,810.16 = 4,011.52/x
  3. Step 3: Cross multiply
    9,206.88x = 13,810.16 × 4,011.52
  4. Step 4: Simplify right side
    9,206.88x = 55,399,733.04
  5. Step 5: Solve for x
    x = 55,399,733.04/9,206.88
  6. Step 6: Final answer
    x = 6,017.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.