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Finding the Fourth Proportional to 9,830.69, 13,566.53 and 5,354.46

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Solution

The fourth proportional to 9,830.69, 13,566.53 and 5,354.46 is: 7,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.69 : 13,566.53 = 5,354.46 : x
  2. Step 2: Convert to fraction form
    9,830.69/13,566.53 = 5,354.46/x
  3. Step 3: Cross multiply
    9,830.69x = 13,566.53 × 5,354.46
  4. Step 4: Simplify right side
    9,830.69x = 72,641,415.45
  5. Step 5: Solve for x
    x = 72,641,415.45/9,830.69
  6. Step 6: Final answer
    x = 7,389.25

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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.