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Finding the Fourth Proportional to 9,851.04, 14,768.76 and 4,918.14

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Solution

The fourth proportional to 9,851.04, 14,768.76 and 4,918.14 is: 7,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.04 : 14,768.76 = 4,918.14 : x
  2. Step 2: Convert to fraction form
    9,851.04/14,768.76 = 4,918.14/x
  3. Step 3: Cross multiply
    9,851.04x = 14,768.76 × 4,918.14
  4. Step 4: Simplify right side
    9,851.04x = 72,634,829.31
  5. Step 5: Solve for x
    x = 72,634,829.31/9,851.04
  6. Step 6: Final answer
    x = 7,373.32

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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.