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Finding the Fourth Proportional to 9,301.10, 13,951.65 and 6,530.90

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Solution

The fourth proportional to 9,301.10, 13,951.65 and 6,530.90 is: 9,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.10 : 13,951.65 = 6,530.90 : x
  2. Step 2: Convert to fraction form
    9,301.10/13,951.65 = 6,530.90/x
  3. Step 3: Cross multiply
    9,301.10x = 13,951.65 × 6,530.90
  4. Step 4: Simplify right side
    9,301.10x = 91,116,830.99
  5. Step 5: Solve for x
    x = 91,116,830.99/9,301.10
  6. Step 6: Final answer
    x = 9,796.35

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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.