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Finding the Fourth Proportional to 9,772.40, 13,485.84 and 5,296.16

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Solution

The fourth proportional to 9,772.40, 13,485.84 and 5,296.16 is: 7,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.40 : 13,485.84 = 5,296.16 : x
  2. Step 2: Convert to fraction form
    9,772.40/13,485.84 = 5,296.16/x
  3. Step 3: Cross multiply
    9,772.40x = 13,485.84 × 5,296.16
  4. Step 4: Simplify right side
    9,772.40x = 71,423,166.37
  5. Step 5: Solve for x
    x = 71,423,166.37/9,772.40
  6. Step 6: Final answer
    x = 7,308.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.