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Finding the Fourth Proportional to 6,842.42, 9,444.32 and 4,458.93

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Solution

The fourth proportional to 6,842.42, 9,444.32 and 4,458.93 is: 6,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.42 : 9,444.32 = 4,458.93 : x
  2. Step 2: Convert to fraction form
    6,842.42/9,444.32 = 4,458.93/x
  3. Step 3: Cross multiply
    6,842.42x = 9,444.32 × 4,458.93
  4. Step 4: Simplify right side
    6,842.42x = 42,111,561.78
  5. Step 5: Solve for x
    x = 42,111,561.78/6,842.42
  6. Step 6: Final answer
    x = 6,154.48

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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.