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Finding the Fourth Proportional to 9,920.60, 13,689.55 and 5,670.82

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Solution

The fourth proportional to 9,920.60, 13,689.55 and 5,670.82 is: 7,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.60 : 13,689.55 = 5,670.82 : x
  2. Step 2: Convert to fraction form
    9,920.60/13,689.55 = 5,670.82/x
  3. Step 3: Cross multiply
    9,920.60x = 13,689.55 × 5,670.82
  4. Step 4: Simplify right side
    9,920.60x = 77,630,973.93
  5. Step 5: Solve for x
    x = 77,630,973.93/9,920.60
  6. Step 6: Final answer
    x = 7,825.23

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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.