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Finding the Fourth Proportional to 9,830.64, 13,556.88 and 7,588.80

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Solution

The fourth proportional to 9,830.64, 13,556.88 and 7,588.80 is: 10,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.64 : 13,556.88 = 7,588.80 : x
  2. Step 2: Convert to fraction form
    9,830.64/13,556.88 = 7,588.80/x
  3. Step 3: Cross multiply
    9,830.64x = 13,556.88 × 7,588.80
  4. Step 4: Simplify right side
    9,830.64x = 102,880,450.94
  5. Step 5: Solve for x
    x = 102,880,450.94/9,830.64
  6. Step 6: Final answer
    x = 10,465.29

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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.