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Finding the Fourth Proportional to 9,375.30, 14,030.01 and 7,407

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Solution

The fourth proportional to 9,375.30, 14,030.01 and 7,407 is: 11,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.30 : 14,030.01 = 7,407 : x
  2. Step 2: Convert to fraction form
    9,375.30/14,030.01 = 7,407/x
  3. Step 3: Cross multiply
    9,375.30x = 14,030.01 × 7,407
  4. Step 4: Simplify right side
    9,375.30x = 103,920,284.07
  5. Step 5: Solve for x
    x = 103,920,284.07/9,375.30
  6. Step 6: Final answer
    x = 11,084.48

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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.