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Finding the Fourth Proportional to 9,545.34, 14,305.05 and 7,089.42

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Solution

The fourth proportional to 9,545.34, 14,305.05 and 7,089.42 is: 10,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.34 : 14,305.05 = 7,089.42 : x
  2. Step 2: Convert to fraction form
    9,545.34/14,305.05 = 7,089.42/x
  3. Step 3: Cross multiply
    9,545.34x = 14,305.05 × 7,089.42
  4. Step 4: Simplify right side
    9,545.34x = 101,414,507.57
  5. Step 5: Solve for x
    x = 101,414,507.57/9,545.34
  6. Step 6: Final answer
    x = 10,624.50

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Why These Related Problems?

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