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Finding the Fourth Proportional to 9,552, 14,328.36 and 2,978.16

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Solution

The fourth proportional to 9,552, 14,328.36 and 2,978.16 is: 4,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552 : 14,328.36 = 2,978.16 : x
  2. Step 2: Convert to fraction form
    9,552/14,328.36 = 2,978.16/x
  3. Step 3: Cross multiply
    9,552x = 14,328.36 × 2,978.16
  4. Step 4: Simplify right side
    9,552x = 42,672,148.62
  5. Step 5: Solve for x
    x = 42,672,148.62/9,552
  6. Step 6: Final answer
    x = 4,467.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.