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Finding the Fourth Proportional to 9,556.47, 14,332.41 and 3,316.77

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Solution

The fourth proportional to 9,556.47, 14,332.41 and 3,316.77 is: 4,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.47 : 14,332.41 = 3,316.77 : x
  2. Step 2: Convert to fraction form
    9,556.47/14,332.41 = 3,316.77/x
  3. Step 3: Cross multiply
    9,556.47x = 14,332.41 × 3,316.77
  4. Step 4: Simplify right side
    9,556.47x = 47,537,307.52
  5. Step 5: Solve for x
    x = 47,537,307.52/9,556.47
  6. Step 6: Final answer
    x = 4,974.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.