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Finding the Fourth Proportional to 9,616.47, 13,270.28 and 5,582.67

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Solution

The fourth proportional to 9,616.47, 13,270.28 and 5,582.67 is: 7,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.47 : 13,270.28 = 5,582.67 : x
  2. Step 2: Convert to fraction form
    9,616.47/13,270.28 = 5,582.67/x
  3. Step 3: Cross multiply
    9,616.47x = 13,270.28 × 5,582.67
  4. Step 4: Simplify right side
    9,616.47x = 74,083,566.13
  5. Step 5: Solve for x
    x = 74,083,566.13/9,616.47
  6. Step 6: Final answer
    x = 7,703.82

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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.