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Finding the Fourth Proportional to 9,922.54, 14,870 and 6,594.70

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Solution

The fourth proportional to 9,922.54, 14,870 and 6,594.70 is: 9,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.54 : 14,870 = 6,594.70 : x
  2. Step 2: Convert to fraction form
    9,922.54/14,870 = 6,594.70/x
  3. Step 3: Cross multiply
    9,922.54x = 14,870 × 6,594.70
  4. Step 4: Simplify right side
    9,922.54x = 98,063,189
  5. Step 5: Solve for x
    x = 98,063,189/9,922.54
  6. Step 6: Final answer
    x = 9,882.87

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