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Finding the Fourth Proportional to 9,814.76, 13,545.50 and 5,509.04

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Solution

The fourth proportional to 9,814.76, 13,545.50 and 5,509.04 is: 7,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.76 : 13,545.50 = 5,509.04 : x
  2. Step 2: Convert to fraction form
    9,814.76/13,545.50 = 5,509.04/x
  3. Step 3: Cross multiply
    9,814.76x = 13,545.50 × 5,509.04
  4. Step 4: Simplify right side
    9,814.76x = 74,622,606.05
  5. Step 5: Solve for x
    x = 74,622,606.05/9,814.76
  6. Step 6: Final answer
    x = 7,603.10

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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.