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Finding the Fourth Proportional to 7,125.31, 9,828.57 and 4,606.48

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Solution

The fourth proportional to 7,125.31, 9,828.57 and 4,606.48 is: 6,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.31 : 9,828.57 = 4,606.48 : x
  2. Step 2: Convert to fraction form
    7,125.31/9,828.57 = 4,606.48/x
  3. Step 3: Cross multiply
    7,125.31x = 9,828.57 × 4,606.48
  4. Step 4: Simplify right side
    7,125.31x = 45,275,111.13
  5. Step 5: Solve for x
    x = 45,275,111.13/7,125.31
  6. Step 6: Final answer
    x = 6,354.13

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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.