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Finding the Fourth Proportional to 9,492, 13,098.96 and 5,300.28

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Solution

The fourth proportional to 9,492, 13,098.96 and 5,300.28 is: 7,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492 : 13,098.96 = 5,300.28 : x
  2. Step 2: Convert to fraction form
    9,492/13,098.96 = 5,300.28/x
  3. Step 3: Cross multiply
    9,492x = 13,098.96 × 5,300.28
  4. Step 4: Simplify right side
    9,492x = 69,428,155.71
  5. Step 5: Solve for x
    x = 69,428,155.71/9,492
  6. Step 6: Final answer
    x = 7,314.39

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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.