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Finding the Fourth Proportional to 9,975.94, 13,768.33 and 7,582.02

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Solution

The fourth proportional to 9,975.94, 13,768.33 and 7,582.02 is: 10,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.94 : 13,768.33 = 7,582.02 : x
  2. Step 2: Convert to fraction form
    9,975.94/13,768.33 = 7,582.02/x
  3. Step 3: Cross multiply
    9,975.94x = 13,768.33 × 7,582.02
  4. Step 4: Simplify right side
    9,975.94x = 104,391,774.50
  5. Step 5: Solve for x
    x = 104,391,774.50/9,975.94
  6. Step 6: Final answer
    x = 10,464.35

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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.