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Finding the Fourth Proportional to 9,730.04, 14,593.30 and 3,405.85

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Solution

The fourth proportional to 9,730.04, 14,593.30 and 3,405.85 is: 5,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.04 : 14,593.30 = 3,405.85 : x
  2. Step 2: Convert to fraction form
    9,730.04/14,593.30 = 3,405.85/x
  3. Step 3: Cross multiply
    9,730.04x = 14,593.30 × 3,405.85
  4. Step 4: Simplify right side
    9,730.04x = 49,702,545.81
  5. Step 5: Solve for x
    x = 49,702,545.81/9,730.04
  6. Step 6: Final answer
    x = 5,108.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.