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Finding the Fourth Proportional to 9,515.34, 13,130.64 and 5,323.86

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Solution

The fourth proportional to 9,515.34, 13,130.64 and 5,323.86 is: 7,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.34 : 13,130.64 = 5,323.86 : x
  2. Step 2: Convert to fraction form
    9,515.34/13,130.64 = 5,323.86/x
  3. Step 3: Cross multiply
    9,515.34x = 13,130.64 × 5,323.86
  4. Step 4: Simplify right side
    9,515.34x = 69,905,689.07
  5. Step 5: Solve for x
    x = 69,905,689.07/9,515.34
  6. Step 6: Final answer
    x = 7,346.63

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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.