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Finding the Fourth Proportional to 7,035.52, 9,709.47 and 4,051.30

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Solution

The fourth proportional to 7,035.52, 9,709.47 and 4,051.30 is: 5,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.52 : 9,709.47 = 4,051.30 : x
  2. Step 2: Convert to fraction form
    7,035.52/9,709.47 = 4,051.30/x
  3. Step 3: Cross multiply
    7,035.52x = 9,709.47 × 4,051.30
  4. Step 4: Simplify right side
    7,035.52x = 39,335,975.81
  5. Step 5: Solve for x
    x = 39,335,975.81/7,035.52
  6. Step 6: Final answer
    x = 5,591.05

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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.