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Finding the Fourth Proportional to 9,942.76, 14,916.54 and 7,026.76

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Solution

The fourth proportional to 9,942.76, 14,916.54 and 7,026.76 is: 10,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.76 : 14,916.54 = 7,026.76 : x
  2. Step 2: Convert to fraction form
    9,942.76/14,916.54 = 7,026.76/x
  3. Step 3: Cross multiply
    9,942.76x = 14,916.54 × 7,026.76
  4. Step 4: Simplify right side
    9,942.76x = 104,814,946.61
  5. Step 5: Solve for x
    x = 104,814,946.61/9,942.76
  6. Step 6: Final answer
    x = 10,541.84

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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.