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Finding the Fourth Proportional to 9,378.53, 14,055.49 and 6,901.76

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Solution

The fourth proportional to 9,378.53, 14,055.49 and 6,901.76 is: 10,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.53 : 14,055.49 = 6,901.76 : x
  2. Step 2: Convert to fraction form
    9,378.53/14,055.49 = 6,901.76/x
  3. Step 3: Cross multiply
    9,378.53x = 14,055.49 × 6,901.76
  4. Step 4: Simplify right side
    9,378.53x = 97,007,618.66
  5. Step 5: Solve for x
    x = 97,007,618.66/9,378.53
  6. Step 6: Final answer
    x = 10,343.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.