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Finding the Fourth Proportional to 9,507.10, 13,119.79 and 5,730.32

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Solution

The fourth proportional to 9,507.10, 13,119.79 and 5,730.32 is: 7,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.10 : 13,119.79 = 5,730.32 : x
  2. Step 2: Convert to fraction form
    9,507.10/13,119.79 = 5,730.32/x
  3. Step 3: Cross multiply
    9,507.10x = 13,119.79 × 5,730.32
  4. Step 4: Simplify right side
    9,507.10x = 75,180,515.11
  5. Step 5: Solve for x
    x = 75,180,515.11/9,507.10
  6. Step 6: Final answer
    x = 7,907.83

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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.