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Finding the Fourth Proportional to 9,580.14, 14,368.12 and 3,005.46

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Solution

The fourth proportional to 9,580.14, 14,368.12 and 3,005.46 is: 4,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.14 : 14,368.12 = 3,005.46 : x
  2. Step 2: Convert to fraction form
    9,580.14/14,368.12 = 3,005.46/x
  3. Step 3: Cross multiply
    9,580.14x = 14,368.12 × 3,005.46
  4. Step 4: Simplify right side
    9,580.14x = 43,182,809.94
  5. Step 5: Solve for x
    x = 43,182,809.94/9,580.14
  6. Step 6: Final answer
    x = 4,507.53

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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.