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Finding the Fourth Proportional to 9,262.24, 13,886.88 and 4,642.72

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Solution

The fourth proportional to 9,262.24, 13,886.88 and 4,642.72 is: 6,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.24 : 13,886.88 = 4,642.72 : x
  2. Step 2: Convert to fraction form
    9,262.24/13,886.88 = 4,642.72/x
  3. Step 3: Cross multiply
    9,262.24x = 13,886.88 × 4,642.72
  4. Step 4: Simplify right side
    9,262.24x = 64,472,895.51
  5. Step 5: Solve for x
    x = 64,472,895.51/9,262.24
  6. Step 6: Final answer
    x = 6,960.83

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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.