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Finding the Fourth Proportional to 9,892.17, 14,838.26 and 8,421.93

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Solution

The fourth proportional to 9,892.17, 14,838.26 and 8,421.93 is: 12,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.17 : 14,838.26 = 8,421.93 : x
  2. Step 2: Convert to fraction form
    9,892.17/14,838.26 = 8,421.93/x
  3. Step 3: Cross multiply
    9,892.17x = 14,838.26 × 8,421.93
  4. Step 4: Simplify right side
    9,892.17x = 124,966,744.93
  5. Step 5: Solve for x
    x = 124,966,744.93/9,892.17
  6. Step 6: Final answer
    x = 12,632.90

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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.