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Finding the Fourth Proportional to 9,505.80, 14,258.70 and 6,881.40

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Solution

The fourth proportional to 9,505.80, 14,258.70 and 6,881.40 is: 10,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.80 : 14,258.70 = 6,881.40 : x
  2. Step 2: Convert to fraction form
    9,505.80/14,258.70 = 6,881.40/x
  3. Step 3: Cross multiply
    9,505.80x = 14,258.70 × 6,881.40
  4. Step 4: Simplify right side
    9,505.80x = 98,119,818.18
  5. Step 5: Solve for x
    x = 98,119,818.18/9,505.80
  6. Step 6: Final answer
    x = 10,322.10

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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.