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Finding the Fourth Proportional to 9,842.69, 13,582.45 and 5,476.29

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Solution

The fourth proportional to 9,842.69, 13,582.45 and 5,476.29 is: 7,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.69 : 13,582.45 = 5,476.29 : x
  2. Step 2: Convert to fraction form
    9,842.69/13,582.45 = 5,476.29/x
  3. Step 3: Cross multiply
    9,842.69x = 13,582.45 × 5,476.29
  4. Step 4: Simplify right side
    9,842.69x = 74,381,391.02
  5. Step 5: Solve for x
    x = 74,381,391.02/9,842.69
  6. Step 6: Final answer
    x = 7,557.02

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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.