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Finding the Fourth Proportional to 9,506.56, 13,118.32 and 5,314

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Solution

The fourth proportional to 9,506.56, 13,118.32 and 5,314 is: 7,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.56 : 13,118.32 = 5,314 : x
  2. Step 2: Convert to fraction form
    9,506.56/13,118.32 = 5,314/x
  3. Step 3: Cross multiply
    9,506.56x = 13,118.32 × 5,314
  4. Step 4: Simplify right side
    9,506.56x = 69,710,752.48
  5. Step 5: Solve for x
    x = 69,710,752.48/9,506.56
  6. Step 6: Final answer
    x = 7,332.91

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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.