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Finding the Fourth Proportional to 9,470.60, 13,071.22 and 5,696.84

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Solution

The fourth proportional to 9,470.60, 13,071.22 and 5,696.84 is: 7,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.60 : 13,071.22 = 5,696.84 : x
  2. Step 2: Convert to fraction form
    9,470.60/13,071.22 = 5,696.84/x
  3. Step 3: Cross multiply
    9,470.60x = 13,071.22 × 5,696.84
  4. Step 4: Simplify right side
    9,470.60x = 74,464,648.94
  5. Step 5: Solve for x
    x = 74,464,648.94/9,470.60
  6. Step 6: Final answer
    x = 7,862.72

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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.