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Finding the Fourth Proportional to 9,298.72, 13,931.76 and 4,905.76

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Solution

The fourth proportional to 9,298.72, 13,931.76 and 4,905.76 is: 7,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.72 : 13,931.76 = 4,905.76 : x
  2. Step 2: Convert to fraction form
    9,298.72/13,931.76 = 4,905.76/x
  3. Step 3: Cross multiply
    9,298.72x = 13,931.76 × 4,905.76
  4. Step 4: Simplify right side
    9,298.72x = 68,345,870.94
  5. Step 5: Solve for x
    x = 68,345,870.94/9,298.72
  6. Step 6: Final answer
    x = 7,350.03

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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.