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Finding the Fourth Proportional to 9,580.48, 14,365.14 and 8,030.08

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Solution

The fourth proportional to 9,580.48, 14,365.14 and 8,030.08 is: 12,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.48 : 14,365.14 = 8,030.08 : x
  2. Step 2: Convert to fraction form
    9,580.48/14,365.14 = 8,030.08/x
  3. Step 3: Cross multiply
    9,580.48x = 14,365.14 × 8,030.08
  4. Step 4: Simplify right side
    9,580.48x = 115,353,223.41
  5. Step 5: Solve for x
    x = 115,353,223.41/9,580.48
  6. Step 6: Final answer
    x = 12,040.44

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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.