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Finding the Fourth Proportional to 9,454.71, 13,045.35 and 5,419.68

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Solution

The fourth proportional to 9,454.71, 13,045.35 and 5,419.68 is: 7,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.71 : 13,045.35 = 5,419.68 : x
  2. Step 2: Convert to fraction form
    9,454.71/13,045.35 = 5,419.68/x
  3. Step 3: Cross multiply
    9,454.71x = 13,045.35 × 5,419.68
  4. Step 4: Simplify right side
    9,454.71x = 70,701,622.49
  5. Step 5: Solve for x
    x = 70,701,622.49/9,454.71
  6. Step 6: Final answer
    x = 7,477.93

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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.