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Finding the Fourth Proportional to 8,948.64, 12,348.93 and 4,969.51

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Solution

The fourth proportional to 8,948.64, 12,348.93 and 4,969.51 is: 6,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.64 : 12,348.93 = 4,969.51 : x
  2. Step 2: Convert to fraction form
    8,948.64/12,348.93 = 4,969.51/x
  3. Step 3: Cross multiply
    8,948.64x = 12,348.93 × 4,969.51
  4. Step 4: Simplify right side
    8,948.64x = 61,368,131.12
  5. Step 5: Solve for x
    x = 61,368,131.12/8,948.64
  6. Step 6: Final answer
    x = 6,857.82

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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.