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Finding the Fourth Proportional to 9,444.65, 13,030.45 and 5,464.31

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Solution

The fourth proportional to 9,444.65, 13,030.45 and 5,464.31 is: 7,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.65 : 13,030.45 = 5,464.31 : x
  2. Step 2: Convert to fraction form
    9,444.65/13,030.45 = 5,464.31/x
  3. Step 3: Cross multiply
    9,444.65x = 13,030.45 × 5,464.31
  4. Step 4: Simplify right side
    9,444.65x = 71,202,339.43
  5. Step 5: Solve for x
    x = 71,202,339.43/9,444.65
  6. Step 6: Final answer
    x = 7,538.91

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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.