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Finding the Fourth Proportional to 9,590.58, 14,368.04 and 5,211.72

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Solution

The fourth proportional to 9,590.58, 14,368.04 and 5,211.72 is: 7,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.58 : 14,368.04 = 5,211.72 : x
  2. Step 2: Convert to fraction form
    9,590.58/14,368.04 = 5,211.72/x
  3. Step 3: Cross multiply
    9,590.58x = 14,368.04 × 5,211.72
  4. Step 4: Simplify right side
    9,590.58x = 74,882,201.43
  5. Step 5: Solve for x
    x = 74,882,201.43/9,590.58
  6. Step 6: Final answer
    x = 7,807.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.