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Finding the Fourth Proportional to 9,597.83, 14,402.90 and 6,627.61

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Solution

The fourth proportional to 9,597.83, 14,402.90 and 6,627.61 is: 9,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.83 : 14,402.90 = 6,627.61 : x
  2. Step 2: Convert to fraction form
    9,597.83/14,402.90 = 6,627.61/x
  3. Step 3: Cross multiply
    9,597.83x = 14,402.90 × 6,627.61
  4. Step 4: Simplify right side
    9,597.83x = 95,456,804.07
  5. Step 5: Solve for x
    x = 95,456,804.07/9,597.83
  6. Step 6: Final answer
    x = 9,945.67

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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.