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Finding the Fourth Proportional to 9,580.77, 14,374.71 and 4,314.19

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Solution

The fourth proportional to 9,580.77, 14,374.71 and 4,314.19 is: 6,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.77 : 14,374.71 = 4,314.19 : x
  2. Step 2: Convert to fraction form
    9,580.77/14,374.71 = 4,314.19/x
  3. Step 3: Cross multiply
    9,580.77x = 14,374.71 × 4,314.19
  4. Step 4: Simplify right side
    9,580.77x = 62,015,230.13
  5. Step 5: Solve for x
    x = 62,015,230.13/9,580.77
  6. Step 6: Final answer
    x = 6,472.89

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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.