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Finding the Fourth Proportional to 9,116.90, 13,675.80 and 4,742.90

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Solution

The fourth proportional to 9,116.90, 13,675.80 and 4,742.90 is: 7,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.90 : 13,675.80 = 4,742.90 : x
  2. Step 2: Convert to fraction form
    9,116.90/13,675.80 = 4,742.90/x
  3. Step 3: Cross multiply
    9,116.90x = 13,675.80 × 4,742.90
  4. Step 4: Simplify right side
    9,116.90x = 64,862,951.82
  5. Step 5: Solve for x
    x = 64,862,951.82/9,116.90
  6. Step 6: Final answer
    x = 7,114.58

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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.