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Finding the Fourth Proportional to 9,116.10, 12,775.50 and 9,116.10

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Solution

The fourth proportional to 9,116.10, 12,775.50 and 9,116.10 is: 12,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.10 : 12,775.50 = 9,116.10 : x
  2. Step 2: Convert to fraction form
    9,116.10/12,775.50 = 9,116.10/x
  3. Step 3: Cross multiply
    9,116.10x = 12,775.50 × 9,116.10
  4. Step 4: Simplify right side
    9,116.10x = 116,462,735.55
  5. Step 5: Solve for x
    x = 116,462,735.55/9,116.10
  6. Step 6: Final answer
    x = 12,775.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.