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Finding the Fourth Proportional to 9,894.51, 14,828.38 and 4,047.93

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Solution

The fourth proportional to 9,894.51, 14,828.38 and 4,047.93 is: 6,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.51 : 14,828.38 = 4,047.93 : x
  2. Step 2: Convert to fraction form
    9,894.51/14,828.38 = 4,047.93/x
  3. Step 3: Cross multiply
    9,894.51x = 14,828.38 × 4,047.93
  4. Step 4: Simplify right side
    9,894.51x = 60,024,244.25
  5. Step 5: Solve for x
    x = 60,024,244.25/9,894.51
  6. Step 6: Final answer
    x = 6,066.42

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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.