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Finding the Fourth Proportional to 9,123.92, 12,590.63 and 5,145.40

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Solution

The fourth proportional to 9,123.92, 12,590.63 and 5,145.40 is: 7,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.92 : 12,590.63 = 5,145.40 : x
  2. Step 2: Convert to fraction form
    9,123.92/12,590.63 = 5,145.40/x
  3. Step 3: Cross multiply
    9,123.92x = 12,590.63 × 5,145.40
  4. Step 4: Simplify right side
    9,123.92x = 64,783,827.60
  5. Step 5: Solve for x
    x = 64,783,827.60/9,123.92
  6. Step 6: Final answer
    x = 7,100.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.