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Finding the Fourth Proportional to 9,055.80, 12,496.14 and 5,076

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Solution

The fourth proportional to 9,055.80, 12,496.14 and 5,076 is: 7,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.80 : 12,496.14 = 5,076 : x
  2. Step 2: Convert to fraction form
    9,055.80/12,496.14 = 5,076/x
  3. Step 3: Cross multiply
    9,055.80x = 12,496.14 × 5,076
  4. Step 4: Simplify right side
    9,055.80x = 63,430,406.64
  5. Step 5: Solve for x
    x = 63,430,406.64/9,055.80
  6. Step 6: Final answer
    x = 7,004.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.