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Finding the Fourth Proportional to 9,678.58, 13,357.32 and 5,901.95

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Solution

The fourth proportional to 9,678.58, 13,357.32 and 5,901.95 is: 8,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.58 : 13,357.32 = 5,901.95 : x
  2. Step 2: Convert to fraction form
    9,678.58/13,357.32 = 5,901.95/x
  3. Step 3: Cross multiply
    9,678.58x = 13,357.32 × 5,901.95
  4. Step 4: Simplify right side
    9,678.58x = 78,834,253.41
  5. Step 5: Solve for x
    x = 78,834,253.41/9,678.58
  6. Step 6: Final answer
    x = 8,145.23

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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.