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Finding the Fourth Proportional to 9,349.68, 12,902 and 5,157.92

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Solution

The fourth proportional to 9,349.68, 12,902 and 5,157.92 is: 7,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.68 : 12,902 = 5,157.92 : x
  2. Step 2: Convert to fraction form
    9,349.68/12,902 = 5,157.92/x
  3. Step 3: Cross multiply
    9,349.68x = 12,902 × 5,157.92
  4. Step 4: Simplify right side
    9,349.68x = 66,547,483.84
  5. Step 5: Solve for x
    x = 66,547,483.84/9,349.68
  6. Step 6: Final answer
    x = 7,117.62

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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.