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Finding the Fourth Proportional to 9,545.79, 14,288.99 and 5,152.35

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Solution

The fourth proportional to 9,545.79, 14,288.99 and 5,152.35 is: 7,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.79 : 14,288.99 = 5,152.35 : x
  2. Step 2: Convert to fraction form
    9,545.79/14,288.99 = 5,152.35/x
  3. Step 3: Cross multiply
    9,545.79x = 14,288.99 × 5,152.35
  4. Step 4: Simplify right side
    9,545.79x = 73,621,851.86
  5. Step 5: Solve for x
    x = 73,621,851.86/9,545.79
  6. Step 6: Final answer
    x = 7,712.49

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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.