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Finding the Fourth Proportional to 9,417.40, 14,111.70 and 7,948.60

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Solution

The fourth proportional to 9,417.40, 14,111.70 and 7,948.60 is: 11,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.40 : 14,111.70 = 7,948.60 : x
  2. Step 2: Convert to fraction form
    9,417.40/14,111.70 = 7,948.60/x
  3. Step 3: Cross multiply
    9,417.40x = 14,111.70 × 7,948.60
  4. Step 4: Simplify right side
    9,417.40x = 112,168,258.62
  5. Step 5: Solve for x
    x = 112,168,258.62/9,417.40
  6. Step 6: Final answer
    x = 11,910.75

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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.