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Finding the Fourth Proportional to 9,509.29, 14,209.55 and 7,245.38

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Solution

The fourth proportional to 9,509.29, 14,209.55 and 7,245.38 is: 10,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.29 : 14,209.55 = 7,245.38 : x
  2. Step 2: Convert to fraction form
    9,509.29/14,209.55 = 7,245.38/x
  3. Step 3: Cross multiply
    9,509.29x = 14,209.55 × 7,245.38
  4. Step 4: Simplify right side
    9,509.29x = 102,953,482.10
  5. Step 5: Solve for x
    x = 102,953,482.10/9,509.29
  6. Step 6: Final answer
    x = 10,826.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.