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Finding the Fourth Proportional to 9,470.58, 13,064.60 and 7,228.57

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Solution

The fourth proportional to 9,470.58, 13,064.60 and 7,228.57 is: 9,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.58 : 13,064.60 = 7,228.57 : x
  2. Step 2: Convert to fraction form
    9,470.58/13,064.60 = 7,228.57/x
  3. Step 3: Cross multiply
    9,470.58x = 13,064.60 × 7,228.57
  4. Step 4: Simplify right side
    9,470.58x = 94,438,292.23
  5. Step 5: Solve for x
    x = 94,438,292.23/9,470.58
  6. Step 6: Final answer
    x = 9,971.75

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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.