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Finding the Fourth Proportional to 9,160.88, 12,642.04 and 4,969.16

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Solution

The fourth proportional to 9,160.88, 12,642.04 and 4,969.16 is: 6,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.88 : 12,642.04 = 4,969.16 : x
  2. Step 2: Convert to fraction form
    9,160.88/12,642.04 = 4,969.16/x
  3. Step 3: Cross multiply
    9,160.88x = 12,642.04 × 4,969.16
  4. Step 4: Simplify right side
    9,160.88x = 62,820,319.49
  5. Step 5: Solve for x
    x = 62,820,319.49/9,160.88
  6. Step 6: Final answer
    x = 6,857.45

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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.