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Finding the Fourth Proportional to 9,897.46, 14,842.51 and 3,322.08

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Solution

The fourth proportional to 9,897.46, 14,842.51 and 3,322.08 is: 4,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.46 : 14,842.51 = 3,322.08 : x
  2. Step 2: Convert to fraction form
    9,897.46/14,842.51 = 3,322.08/x
  3. Step 3: Cross multiply
    9,897.46x = 14,842.51 × 3,322.08
  4. Step 4: Simplify right side
    9,897.46x = 49,307,997.32
  5. Step 5: Solve for x
    x = 49,307,997.32/9,897.46
  6. Step 6: Final answer
    x = 4,981.89

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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.