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Finding the Fourth Proportional to 9,341.64, 12,892.64 and 5,364

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Solution

The fourth proportional to 9,341.64, 12,892.64 and 5,364 is: 7,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.64 : 12,892.64 = 5,364 : x
  2. Step 2: Convert to fraction form
    9,341.64/12,892.64 = 5,364/x
  3. Step 3: Cross multiply
    9,341.64x = 12,892.64 × 5,364
  4. Step 4: Simplify right side
    9,341.64x = 69,156,094.14
  5. Step 5: Solve for x
    x = 69,156,094.14/9,341.64
  6. Step 6: Final answer
    x = 7,402.99

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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.