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Finding the Fourth Proportional to 8,946.02, 12,345.72 and 4,913

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Solution

The fourth proportional to 8,946.02, 12,345.72 and 4,913 is: 6,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.02 : 12,345.72 = 4,913 : x
  2. Step 2: Convert to fraction form
    8,946.02/12,345.72 = 4,913/x
  3. Step 3: Cross multiply
    8,946.02x = 12,345.72 × 4,913
  4. Step 4: Simplify right side
    8,946.02x = 60,654,522.36
  5. Step 5: Solve for x
    x = 60,654,522.36/8,946.02
  6. Step 6: Final answer
    x = 6,780.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.