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Finding the Fourth Proportional to 9,970.08, 14,959.44 and 5,352

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Solution

The fourth proportional to 9,970.08, 14,959.44 and 5,352 is: 8,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.08 : 14,959.44 = 5,352 : x
  2. Step 2: Convert to fraction form
    9,970.08/14,959.44 = 5,352/x
  3. Step 3: Cross multiply
    9,970.08x = 14,959.44 × 5,352
  4. Step 4: Simplify right side
    9,970.08x = 80,062,922.88
  5. Step 5: Solve for x
    x = 80,062,922.88/9,970.08
  6. Step 6: Final answer
    x = 8,030.32

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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.