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Finding the Fourth Proportional to 9,289.30, 12,804.66 and 7,042.18

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Solution

The fourth proportional to 9,289.30, 12,804.66 and 7,042.18 is: 9,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.30 : 12,804.66 = 7,042.18 : x
  2. Step 2: Convert to fraction form
    9,289.30/12,804.66 = 7,042.18/x
  3. Step 3: Cross multiply
    9,289.30x = 12,804.66 × 7,042.18
  4. Step 4: Simplify right side
    9,289.30x = 90,172,720.56
  5. Step 5: Solve for x
    x = 90,172,720.56/9,289.30
  6. Step 6: Final answer
    x = 9,707.16

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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.