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Finding the Fourth Proportional to 9,697.13, 14,545.80 and 3,123.30

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Solution

The fourth proportional to 9,697.13, 14,545.80 and 3,123.30 is: 4,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.13 : 14,545.80 = 3,123.30 : x
  2. Step 2: Convert to fraction form
    9,697.13/14,545.80 = 3,123.30/x
  3. Step 3: Cross multiply
    9,697.13x = 14,545.80 × 3,123.30
  4. Step 4: Simplify right side
    9,697.13x = 45,430,897.14
  5. Step 5: Solve for x
    x = 45,430,897.14/9,697.13
  6. Step 6: Final answer
    x = 4,684.99

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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.