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Finding the Fourth Proportional to 9,335, 14,001.28 and 3,095.08

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Solution

The fourth proportional to 9,335, 14,001.28 and 3,095.08 is: 4,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335 : 14,001.28 = 3,095.08 : x
  2. Step 2: Convert to fraction form
    9,335/14,001.28 = 3,095.08/x
  3. Step 3: Cross multiply
    9,335x = 14,001.28 × 3,095.08
  4. Step 4: Simplify right side
    9,335x = 43,335,081.70
  5. Step 5: Solve for x
    x = 43,335,081.70/9,335
  6. Step 6: Final answer
    x = 4,642.22

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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.