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Finding the Fourth Proportional to 9,699.93, 14,556.28 and 5,320.47

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Solution

The fourth proportional to 9,699.93, 14,556.28 and 5,320.47 is: 7,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.93 : 14,556.28 = 5,320.47 : x
  2. Step 2: Convert to fraction form
    9,699.93/14,556.28 = 5,320.47/x
  3. Step 3: Cross multiply
    9,699.93x = 14,556.28 × 5,320.47
  4. Step 4: Simplify right side
    9,699.93x = 77,446,151.67
  5. Step 5: Solve for x
    x = 77,446,151.67/9,699.93
  6. Step 6: Final answer
    x = 7,984.20

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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.