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Finding the Fourth Proportional to 9,697.19, 14,545.78 and 3,123.50

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Solution

The fourth proportional to 9,697.19, 14,545.78 and 3,123.50 is: 4,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.19 : 14,545.78 = 3,123.50 : x
  2. Step 2: Convert to fraction form
    9,697.19/14,545.78 = 3,123.50/x
  3. Step 3: Cross multiply
    9,697.19x = 14,545.78 × 3,123.50
  4. Step 4: Simplify right side
    9,697.19x = 45,433,663.29
  5. Step 5: Solve for x
    x = 45,433,663.29/9,697.19
  6. Step 6: Final answer
    x = 4,685.24

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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.