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Finding the Fourth Proportional to 9,585.36, 14,379.36 and 4,319.64

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Solution

The fourth proportional to 9,585.36, 14,379.36 and 4,319.64 is: 6,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.36 : 14,379.36 = 4,319.64 : x
  2. Step 2: Convert to fraction form
    9,585.36/14,379.36 = 4,319.64/x
  3. Step 3: Cross multiply
    9,585.36x = 14,379.36 × 4,319.64
  4. Step 4: Simplify right side
    9,585.36x = 62,113,658.63
  5. Step 5: Solve for x
    x = 62,113,658.63/9,585.36
  6. Step 6: Final answer
    x = 6,480.05

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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.