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Finding the Fourth Proportional to 9,860.47, 13,607.49 and 5,384.32

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Solution

The fourth proportional to 9,860.47, 13,607.49 and 5,384.32 is: 7,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.47 : 13,607.49 = 5,384.32 : x
  2. Step 2: Convert to fraction form
    9,860.47/13,607.49 = 5,384.32/x
  3. Step 3: Cross multiply
    9,860.47x = 13,607.49 × 5,384.32
  4. Step 4: Simplify right side
    9,860.47x = 73,267,080.56
  5. Step 5: Solve for x
    x = 73,267,080.56/9,860.47
  6. Step 6: Final answer
    x = 7,430.38

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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.