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Finding the Fourth Proportional to 9,732, 13,430.16 and 5,316

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Solution

The fourth proportional to 9,732, 13,430.16 and 5,316 is: 7,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732 : 13,430.16 = 5,316 : x
  2. Step 2: Convert to fraction form
    9,732/13,430.16 = 5,316/x
  3. Step 3: Cross multiply
    9,732x = 13,430.16 × 5,316
  4. Step 4: Simplify right side
    9,732x = 71,394,730.56
  5. Step 5: Solve for x
    x = 71,394,730.56/9,732
  6. Step 6: Final answer
    x = 7,336.08

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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.