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Finding the Fourth Proportional to 9,828.76, 13,561.14 and 5,848.12

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Solution

The fourth proportional to 9,828.76, 13,561.14 and 5,848.12 is: 8,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.76 : 13,561.14 = 5,848.12 : x
  2. Step 2: Convert to fraction form
    9,828.76/13,561.14 = 5,848.12/x
  3. Step 3: Cross multiply
    9,828.76x = 13,561.14 × 5,848.12
  4. Step 4: Simplify right side
    9,828.76x = 79,307,174.06
  5. Step 5: Solve for x
    x = 79,307,174.06/9,828.76
  6. Step 6: Final answer
    x = 8,068.89

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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.