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Finding the Fourth Proportional to 9,973.72, 14,956.93 and 4,123.50

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Solution

The fourth proportional to 9,973.72, 14,956.93 and 4,123.50 is: 6,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.72 : 14,956.93 = 4,123.50 : x
  2. Step 2: Convert to fraction form
    9,973.72/14,956.93 = 4,123.50/x
  3. Step 3: Cross multiply
    9,973.72x = 14,956.93 × 4,123.50
  4. Step 4: Simplify right side
    9,973.72x = 61,674,900.86
  5. Step 5: Solve for x
    x = 61,674,900.86/9,973.72
  6. Step 6: Final answer
    x = 6,183.74

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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.