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Finding the Fourth Proportional to 9,564.48, 13,199.76 and 5,373.36

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Solution

The fourth proportional to 9,564.48, 13,199.76 and 5,373.36 is: 7,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.48 : 13,199.76 = 5,373.36 : x
  2. Step 2: Convert to fraction form
    9,564.48/13,199.76 = 5,373.36/x
  3. Step 3: Cross multiply
    9,564.48x = 13,199.76 × 5,373.36
  4. Step 4: Simplify right side
    9,564.48x = 70,927,062.39
  5. Step 5: Solve for x
    x = 70,927,062.39/9,564.48
  6. Step 6: Final answer
    x = 7,415.67

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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.