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Finding the Fourth Proportional to 9,132, 12,602.37 and 5,152.35

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Solution

The fourth proportional to 9,132, 12,602.37 and 5,152.35 is: 7,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132 : 12,602.37 = 5,152.35 : x
  2. Step 2: Convert to fraction form
    9,132/12,602.37 = 5,152.35/x
  3. Step 3: Cross multiply
    9,132x = 12,602.37 × 5,152.35
  4. Step 4: Simplify right side
    9,132x = 64,931,821.07
  5. Step 5: Solve for x
    x = 64,931,821.07/9,132
  6. Step 6: Final answer
    x = 7,110.36

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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.