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Finding the Fourth Proportional to 9,296.30, 13,946.73 and 4,360.19

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Solution

The fourth proportional to 9,296.30, 13,946.73 and 4,360.19 is: 6,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.30 : 13,946.73 = 4,360.19 : x
  2. Step 2: Convert to fraction form
    9,296.30/13,946.73 = 4,360.19/x
  3. Step 3: Cross multiply
    9,296.30x = 13,946.73 × 4,360.19
  4. Step 4: Simplify right side
    9,296.30x = 60,810,322.95
  5. Step 5: Solve for x
    x = 60,810,322.95/9,296.30
  6. Step 6: Final answer
    x = 6,541.35

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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.