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Finding the Fourth Proportional to 9,264.83, 13,898.88 and 3,023.10

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Solution

The fourth proportional to 9,264.83, 13,898.88 and 3,023.10 is: 4,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.83 : 13,898.88 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    9,264.83/13,898.88 = 3,023.10/x
  3. Step 3: Cross multiply
    9,264.83x = 13,898.88 × 3,023.10
  4. Step 4: Simplify right side
    9,264.83x = 42,017,704.13
  5. Step 5: Solve for x
    x = 42,017,704.13/9,264.83
  6. Step 6: Final answer
    x = 4,535.19

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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.