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Finding the Fourth Proportional to 9,976.64, 13,768.88 and 7,488.32

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Solution

The fourth proportional to 9,976.64, 13,768.88 and 7,488.32 is: 10,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.64 : 13,768.88 = 7,488.32 : x
  2. Step 2: Convert to fraction form
    9,976.64/13,768.88 = 7,488.32/x
  3. Step 3: Cross multiply
    9,976.64x = 13,768.88 × 7,488.32
  4. Step 4: Simplify right side
    9,976.64x = 103,105,779.48
  5. Step 5: Solve for x
    x = 103,105,779.48/9,976.64
  6. Step 6: Final answer
    x = 10,334.72

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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.