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Finding the Fourth Proportional to 10,343.57, 15,509.50 and 9,461.93

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Solution

The fourth proportional to 10,343.57, 15,509.50 and 9,461.93 is: 14,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.57 : 15,509.50 = 9,461.93 : x
  2. Step 2: Convert to fraction form
    10,343.57/15,509.50 = 9,461.93/x
  3. Step 3: Cross multiply
    10,343.57x = 15,509.50 × 9,461.93
  4. Step 4: Simplify right side
    10,343.57x = 146,749,818.45
  5. Step 5: Solve for x
    x = 146,749,818.45/10,343.57
  6. Step 6: Final answer
    x = 14,187.54

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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.