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Finding the Fourth Proportional to 9,925.41, 13,698.28 and 5,733.66

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Solution

The fourth proportional to 9,925.41, 13,698.28 and 5,733.66 is: 7,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.41 : 13,698.28 = 5,733.66 : x
  2. Step 2: Convert to fraction form
    9,925.41/13,698.28 = 5,733.66/x
  3. Step 3: Cross multiply
    9,925.41x = 13,698.28 × 5,733.66
  4. Step 4: Simplify right side
    9,925.41x = 78,541,214.40
  5. Step 5: Solve for x
    x = 78,541,214.40/9,925.41
  6. Step 6: Final answer
    x = 7,913.15

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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.