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Finding the Fourth Proportional to 9,312.48, 13,902.36 and 8,089.44

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Solution

The fourth proportional to 9,312.48, 13,902.36 and 8,089.44 is: 12,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.48 : 13,902.36 = 8,089.44 : x
  2. Step 2: Convert to fraction form
    9,312.48/13,902.36 = 8,089.44/x
  3. Step 3: Cross multiply
    9,312.48x = 13,902.36 × 8,089.44
  4. Step 4: Simplify right side
    9,312.48x = 112,462,307.08
  5. Step 5: Solve for x
    x = 112,462,307.08/9,312.48
  6. Step 6: Final answer
    x = 12,076.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.