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Finding the Fourth Proportional to 9,946.48, 14,921.04 and 7,610.92

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Solution

The fourth proportional to 9,946.48, 14,921.04 and 7,610.92 is: 11,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.48 : 14,921.04 = 7,610.92 : x
  2. Step 2: Convert to fraction form
    9,946.48/14,921.04 = 7,610.92/x
  3. Step 3: Cross multiply
    9,946.48x = 14,921.04 × 7,610.92
  4. Step 4: Simplify right side
    9,946.48x = 113,562,841.76
  5. Step 5: Solve for x
    x = 113,562,841.76/9,946.48
  6. Step 6: Final answer
    x = 11,417.39

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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.