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Finding the Fourth Proportional to 9,904.86, 13,668.71 and 5,428.76

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Solution

The fourth proportional to 9,904.86, 13,668.71 and 5,428.76 is: 7,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.86 : 13,668.71 = 5,428.76 : x
  2. Step 2: Convert to fraction form
    9,904.86/13,668.71 = 5,428.76/x
  3. Step 3: Cross multiply
    9,904.86x = 13,668.71 × 5,428.76
  4. Step 4: Simplify right side
    9,904.86x = 74,204,050.61
  5. Step 5: Solve for x
    x = 74,204,050.61/9,904.86
  6. Step 6: Final answer
    x = 7,491.68

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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.