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Finding the Fourth Proportional to 9,071.68, 13,631.70 and 4,914.76

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Solution

The fourth proportional to 9,071.68, 13,631.70 and 4,914.76 is: 7,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.68 : 13,631.70 = 4,914.76 : x
  2. Step 2: Convert to fraction form
    9,071.68/13,631.70 = 4,914.76/x
  3. Step 3: Cross multiply
    9,071.68x = 13,631.70 × 4,914.76
  4. Step 4: Simplify right side
    9,071.68x = 66,996,533.89
  5. Step 5: Solve for x
    x = 66,996,533.89/9,071.68
  6. Step 6: Final answer
    x = 7,385.24

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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.