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Finding the Fourth Proportional to 9,463.16, 13,059.30 and 5,430.64

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Solution

The fourth proportional to 9,463.16, 13,059.30 and 5,430.64 is: 7,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.16 : 13,059.30 = 5,430.64 : x
  2. Step 2: Convert to fraction form
    9,463.16/13,059.30 = 5,430.64/x
  3. Step 3: Cross multiply
    9,463.16x = 13,059.30 × 5,430.64
  4. Step 4: Simplify right side
    9,463.16x = 70,920,356.95
  5. Step 5: Solve for x
    x = 70,920,356.95/9,463.16
  6. Step 6: Final answer
    x = 7,494.36

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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.