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Finding the Fourth Proportional to 9,670.32, 13,345.20 and 5,478.48

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Solution

The fourth proportional to 9,670.32, 13,345.20 and 5,478.48 is: 7,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.32 : 13,345.20 = 5,478.48 : x
  2. Step 2: Convert to fraction form
    9,670.32/13,345.20 = 5,478.48/x
  3. Step 3: Cross multiply
    9,670.32x = 13,345.20 × 5,478.48
  4. Step 4: Simplify right side
    9,670.32x = 73,111,411.30
  5. Step 5: Solve for x
    x = 73,111,411.30/9,670.32
  6. Step 6: Final answer
    x = 7,560.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.