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Finding the Fourth Proportional to 35,805.72, 53,708.62 and 9,509.82

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Solution

The fourth proportional to 35,805.72, 53,708.62 and 9,509.82 is: 14,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.72 : 53,708.62 = 9,509.82 : x
  2. Step 2: Convert to fraction form
    35,805.72/53,708.62 = 9,509.82/x
  3. Step 3: Cross multiply
    35,805.72x = 53,708.62 × 9,509.82
  4. Step 4: Simplify right side
    35,805.72x = 510,759,308.65
  5. Step 5: Solve for x
    x = 510,759,308.65/35,805.72
  6. Step 6: Final answer
    x = 14,264.74

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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.