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Finding the Fourth Proportional to 9,619.68, 14,417.47 and 5,166.40

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Solution

The fourth proportional to 9,619.68, 14,417.47 and 5,166.40 is: 7,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.68 : 14,417.47 = 5,166.40 : x
  2. Step 2: Convert to fraction form
    9,619.68/14,417.47 = 5,166.40/x
  3. Step 3: Cross multiply
    9,619.68x = 14,417.47 × 5,166.40
  4. Step 4: Simplify right side
    9,619.68x = 74,486,414.46
  5. Step 5: Solve for x
    x = 74,486,414.46/9,619.68
  6. Step 6: Final answer
    x = 7,743.13

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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.