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Finding the Fourth Proportional to 9,128.64, 12,605.84 and 6,886.68

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Solution

The fourth proportional to 9,128.64, 12,605.84 and 6,886.68 is: 9,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.64 : 12,605.84 = 6,886.68 : x
  2. Step 2: Convert to fraction form
    9,128.64/12,605.84 = 6,886.68/x
  3. Step 3: Cross multiply
    9,128.64x = 12,605.84 × 6,886.68
  4. Step 4: Simplify right side
    9,128.64x = 86,812,386.21
  5. Step 5: Solve for x
    x = 86,812,386.21/9,128.64
  6. Step 6: Final answer
    x = 9,509.89

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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.