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Finding the Fourth Proportional to 9,277.20, 12,804.16 and 7,046.46

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Solution

The fourth proportional to 9,277.20, 12,804.16 and 7,046.46 is: 9,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.20 : 12,804.16 = 7,046.46 : x
  2. Step 2: Convert to fraction form
    9,277.20/12,804.16 = 7,046.46/x
  3. Step 3: Cross multiply
    9,277.20x = 12,804.16 × 7,046.46
  4. Step 4: Simplify right side
    9,277.20x = 90,224,001.27
  5. Step 5: Solve for x
    x = 90,224,001.27/9,277.20
  6. Step 6: Final answer
    x = 9,725.35

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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.