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Finding the Fourth Proportional to 9,634, 14,455.68 and 4,437.04

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Solution

The fourth proportional to 9,634, 14,455.68 and 4,437.04 is: 6,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 14,455.68 = 4,437.04 : x
  2. Step 2: Convert to fraction form
    9,634/14,455.68 = 4,437.04/x
  3. Step 3: Cross multiply
    9,634x = 14,455.68 × 4,437.04
  4. Step 4: Simplify right side
    9,634x = 64,140,430.39
  5. Step 5: Solve for x
    x = 64,140,430.39/9,634
  6. Step 6: Final answer
    x = 6,657.72

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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.