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Finding the Fourth Proportional to 9,752, 13,457.76 and 5,336

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Solution

The fourth proportional to 9,752, 13,457.76 and 5,336 is: 7,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752 : 13,457.76 = 5,336 : x
  2. Step 2: Convert to fraction form
    9,752/13,457.76 = 5,336/x
  3. Step 3: Cross multiply
    9,752x = 13,457.76 × 5,336
  4. Step 4: Simplify right side
    9,752x = 71,810,607.36
  5. Step 5: Solve for x
    x = 71,810,607.36/9,752
  6. Step 6: Final answer
    x = 7,363.68

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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.