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Finding the Fourth Proportional to 9,670.32, 13,352.58 and 7,428.65

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Solution

The fourth proportional to 9,670.32, 13,352.58 and 7,428.65 is: 10,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.32 : 13,352.58 = 7,428.65 : x
  2. Step 2: Convert to fraction form
    9,670.32/13,352.58 = 7,428.65/x
  3. Step 3: Cross multiply
    9,670.32x = 13,352.58 × 7,428.65
  4. Step 4: Simplify right side
    9,670.32x = 99,191,576.65
  5. Step 5: Solve for x
    x = 99,191,576.65/9,670.32
  6. Step 6: Final answer
    x = 10,257.32

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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.