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Finding the Fourth Proportional to 9,580.05, 13,221.65 and 5,802.50

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Solution

The fourth proportional to 9,580.05, 13,221.65 and 5,802.50 is: 8,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.05 : 13,221.65 = 5,802.50 : x
  2. Step 2: Convert to fraction form
    9,580.05/13,221.65 = 5,802.50/x
  3. Step 3: Cross multiply
    9,580.05x = 13,221.65 × 5,802.50
  4. Step 4: Simplify right side
    9,580.05x = 76,718,671.69
  5. Step 5: Solve for x
    x = 76,718,671.69/9,580.05
  6. Step 6: Final answer
    x = 8,008.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.