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Finding the Fourth Proportional to 36,907.13, 55,360.70 and 9,205.13

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Solution

The fourth proportional to 36,907.13, 55,360.70 and 9,205.13 is: 13,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907.13 : 55,360.70 = 9,205.13 : x
  2. Step 2: Convert to fraction form
    36,907.13/55,360.70 = 9,205.13/x
  3. Step 3: Cross multiply
    36,907.13x = 55,360.70 × 9,205.13
  4. Step 4: Simplify right side
    36,907.13x = 509,602,117.56
  5. Step 5: Solve for x
    x = 509,602,117.56/36,907.13
  6. Step 6: Final answer
    x = 13,807.69

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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.