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Finding the Fourth Proportional to 9,298.04, 13,948.50 and 3,056.63

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Solution

The fourth proportional to 9,298.04, 13,948.50 and 3,056.63 is: 4,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.04 : 13,948.50 = 3,056.63 : x
  2. Step 2: Convert to fraction form
    9,298.04/13,948.50 = 3,056.63/x
  3. Step 3: Cross multiply
    9,298.04x = 13,948.50 × 3,056.63
  4. Step 4: Simplify right side
    9,298.04x = 42,635,388.27
  5. Step 5: Solve for x
    x = 42,635,388.27/9,298.04
  6. Step 6: Final answer
    x = 4,585.42

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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.