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Finding the Fourth Proportional to 9,646.93, 14,443.71 and 4,956.85

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Solution

The fourth proportional to 9,646.93, 14,443.71 and 4,956.85 is: 7,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.93 : 14,443.71 = 4,956.85 : x
  2. Step 2: Convert to fraction form
    9,646.93/14,443.71 = 4,956.85/x
  3. Step 3: Cross multiply
    9,646.93x = 14,443.71 × 4,956.85
  4. Step 4: Simplify right side
    9,646.93x = 71,595,303.91
  5. Step 5: Solve for x
    x = 71,595,303.91/9,646.93
  6. Step 6: Final answer
    x = 7,421.56

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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.