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Finding the Fourth Proportional to 9,576.66, 13,211.73 and 5,848.50

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Solution

The fourth proportional to 9,576.66, 13,211.73 and 5,848.50 is: 8,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.66 : 13,211.73 = 5,848.50 : x
  2. Step 2: Convert to fraction form
    9,576.66/13,211.73 = 5,848.50/x
  3. Step 3: Cross multiply
    9,576.66x = 13,211.73 × 5,848.50
  4. Step 4: Simplify right side
    9,576.66x = 77,268,802.91
  5. Step 5: Solve for x
    x = 77,268,802.91/9,576.66
  6. Step 6: Final answer
    x = 8,068.45

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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.