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Finding the Fourth Proportional to 9,465.88, 13,048.32 and 6,107.80

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Solution

The fourth proportional to 9,465.88, 13,048.32 and 6,107.80 is: 8,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.88 : 13,048.32 = 6,107.80 : x
  2. Step 2: Convert to fraction form
    9,465.88/13,048.32 = 6,107.80/x
  3. Step 3: Cross multiply
    9,465.88x = 13,048.32 × 6,107.80
  4. Step 4: Simplify right side
    9,465.88x = 79,696,528.90
  5. Step 5: Solve for x
    x = 79,696,528.90/9,465.88
  6. Step 6: Final answer
    x = 8,419.35

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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.