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Finding the Fourth Proportional to 9,580.64, 13,218.20 and 5,802.60

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Solution

The fourth proportional to 9,580.64, 13,218.20 and 5,802.60 is: 8,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.64 : 13,218.20 = 5,802.60 : x
  2. Step 2: Convert to fraction form
    9,580.64/13,218.20 = 5,802.60/x
  3. Step 3: Cross multiply
    9,580.64x = 13,218.20 × 5,802.60
  4. Step 4: Simplify right side
    9,580.64x = 76,699,927.32
  5. Step 5: Solve for x
    x = 76,699,927.32/9,580.64
  6. Step 6: Final answer
    x = 8,005.72

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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.