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Finding the Fourth Proportional to 9,894.42, 14,844.06 and 4,555.10

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Solution

The fourth proportional to 9,894.42, 14,844.06 and 4,555.10 is: 6,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.42 : 14,844.06 = 4,555.10 : x
  2. Step 2: Convert to fraction form
    9,894.42/14,844.06 = 4,555.10/x
  3. Step 3: Cross multiply
    9,894.42x = 14,844.06 × 4,555.10
  4. Step 4: Simplify right side
    9,894.42x = 67,616,214.82
  5. Step 5: Solve for x
    x = 67,616,214.82/9,894.42
  6. Step 6: Final answer
    x = 6,833.77

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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.