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Finding the Fourth Proportional to 9,925.98, 13,698.94 and 5,677.43

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Solution

The fourth proportional to 9,925.98, 13,698.94 and 5,677.43 is: 7,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.98 : 13,698.94 = 5,677.43 : x
  2. Step 2: Convert to fraction form
    9,925.98/13,698.94 = 5,677.43/x
  3. Step 3: Cross multiply
    9,925.98x = 13,698.94 × 5,677.43
  4. Step 4: Simplify right side
    9,925.98x = 77,774,700.88
  5. Step 5: Solve for x
    x = 77,774,700.88/9,925.98
  6. Step 6: Final answer
    x = 7,835.47

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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.