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Finding the Fourth Proportional to 9,580.95, 14,345.46 and 4,954.23

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Solution

The fourth proportional to 9,580.95, 14,345.46 and 4,954.23 is: 7,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.95 : 14,345.46 = 4,954.23 : x
  2. Step 2: Convert to fraction form
    9,580.95/14,345.46 = 4,954.23/x
  3. Step 3: Cross multiply
    9,580.95x = 14,345.46 × 4,954.23
  4. Step 4: Simplify right side
    9,580.95x = 71,070,708.30
  5. Step 5: Solve for x
    x = 71,070,708.30/9,580.95
  6. Step 6: Final answer
    x = 7,417.92

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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.