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Finding the Fourth Proportional to 9,476.20, 14,215.02 and 7,258.24

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Solution

The fourth proportional to 9,476.20, 14,215.02 and 7,258.24 is: 10,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.20 : 14,215.02 = 7,258.24 : x
  2. Step 2: Convert to fraction form
    9,476.20/14,215.02 = 7,258.24/x
  3. Step 3: Cross multiply
    9,476.20x = 14,215.02 × 7,258.24
  4. Step 4: Simplify right side
    9,476.20x = 103,176,026.76
  5. Step 5: Solve for x
    x = 103,176,026.76/9,476.20
  6. Step 6: Final answer
    x = 10,887.91

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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.