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Finding the Fourth Proportional to 9,454.34, 14,156.73 and 6,665.91

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Solution

The fourth proportional to 9,454.34, 14,156.73 and 6,665.91 is: 9,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.34 : 14,156.73 = 6,665.91 : x
  2. Step 2: Convert to fraction form
    9,454.34/14,156.73 = 6,665.91/x
  3. Step 3: Cross multiply
    9,454.34x = 14,156.73 × 6,665.91
  4. Step 4: Simplify right side
    9,454.34x = 94,367,488.07
  5. Step 5: Solve for x
    x = 94,367,488.07/9,454.34
  6. Step 6: Final answer
    x = 9,981.40

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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.