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Finding the Fourth Proportional to 9,542.41, 13,164.93 and 7,030.52

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Solution

The fourth proportional to 9,542.41, 13,164.93 and 7,030.52 is: 9,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.41 : 13,164.93 = 7,030.52 : x
  2. Step 2: Convert to fraction form
    9,542.41/13,164.93 = 7,030.52/x
  3. Step 3: Cross multiply
    9,542.41x = 13,164.93 × 7,030.52
  4. Step 4: Simplify right side
    9,542.41x = 92,556,313.11
  5. Step 5: Solve for x
    x = 92,556,313.11/9,542.41
  6. Step 6: Final answer
    x = 9,699.47

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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.