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Finding the Fourth Proportional to 9,758.16, 13,466.52 and 5,780.16

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Solution

The fourth proportional to 9,758.16, 13,466.52 and 5,780.16 is: 7,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.16 : 13,466.52 = 5,780.16 : x
  2. Step 2: Convert to fraction form
    9,758.16/13,466.52 = 5,780.16/x
  3. Step 3: Cross multiply
    9,758.16x = 13,466.52 × 5,780.16
  4. Step 4: Simplify right side
    9,758.16x = 77,838,640.24
  5. Step 5: Solve for x
    x = 77,838,640.24/9,758.16
  6. Step 6: Final answer
    x = 7,976.77

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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.