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Finding the Fourth Proportional to 9,506.10, 14,259.15 and 9,117.30

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Solution

The fourth proportional to 9,506.10, 14,259.15 and 9,117.30 is: 13,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.10 : 14,259.15 = 9,117.30 : x
  2. Step 2: Convert to fraction form
    9,506.10/14,259.15 = 9,117.30/x
  3. Step 3: Cross multiply
    9,506.10x = 14,259.15 × 9,117.30
  4. Step 4: Simplify right side
    9,506.10x = 130,004,948.30
  5. Step 5: Solve for x
    x = 130,004,948.30/9,506.10
  6. Step 6: Final answer
    x = 13,675.95

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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.