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Finding the Fourth Proportional to 9,313.86, 13,970.97 and 7,456.35

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Solution

The fourth proportional to 9,313.86, 13,970.97 and 7,456.35 is: 11,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.86 : 13,970.97 = 7,456.35 : x
  2. Step 2: Convert to fraction form
    9,313.86/13,970.97 = 7,456.35/x
  3. Step 3: Cross multiply
    9,313.86x = 13,970.97 × 7,456.35
  4. Step 4: Simplify right side
    9,313.86x = 104,172,442.16
  5. Step 5: Solve for x
    x = 104,172,442.16/9,313.86
  6. Step 6: Final answer
    x = 11,184.67

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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.