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Finding the Fourth Proportional to 9,580.95, 14,370.53 and 4,316.31

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Solution

The fourth proportional to 9,580.95, 14,370.53 and 4,316.31 is: 6,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.95 : 14,370.53 = 4,316.31 : x
  2. Step 2: Convert to fraction form
    9,580.95/14,370.53 = 4,316.31/x
  3. Step 3: Cross multiply
    9,580.95x = 14,370.53 × 4,316.31
  4. Step 4: Simplify right side
    9,580.95x = 62,027,640.76
  5. Step 5: Solve for x
    x = 62,027,640.76/9,580.95
  6. Step 6: Final answer
    x = 6,474.06

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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.