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Finding the Fourth Proportional to 9,732.75, 13,430.38 and 5,482.45

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Solution

The fourth proportional to 9,732.75, 13,430.38 and 5,482.45 is: 7,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.75 : 13,430.38 = 5,482.45 : x
  2. Step 2: Convert to fraction form
    9,732.75/13,430.38 = 5,482.45/x
  3. Step 3: Cross multiply
    9,732.75x = 13,430.38 × 5,482.45
  4. Step 4: Simplify right side
    9,732.75x = 73,631,386.83
  5. Step 5: Solve for x
    x = 73,631,386.83/9,732.75
  6. Step 6: Final answer
    x = 7,565.32

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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.