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Finding the Fourth Proportional to 9,825.64, 13,559.62 and 5,349.63

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Solution

The fourth proportional to 9,825.64, 13,559.62 and 5,349.63 is: 7,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.64 : 13,559.62 = 5,349.63 : x
  2. Step 2: Convert to fraction form
    9,825.64/13,559.62 = 5,349.63/x
  3. Step 3: Cross multiply
    9,825.64x = 13,559.62 × 5,349.63
  4. Step 4: Simplify right side
    9,825.64x = 72,539,017.51
  5. Step 5: Solve for x
    x = 72,539,017.51/9,825.64
  6. Step 6: Final answer
    x = 7,382.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.