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Finding the Fourth Proportional to 9,875.88, 14,816.54 and 4,036.52

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Solution

The fourth proportional to 9,875.88, 14,816.54 and 4,036.52 is: 6,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.88 : 14,816.54 = 4,036.52 : x
  2. Step 2: Convert to fraction form
    9,875.88/14,816.54 = 4,036.52/x
  3. Step 3: Cross multiply
    9,875.88x = 14,816.54 × 4,036.52
  4. Step 4: Simplify right side
    9,875.88x = 59,807,260.04
  5. Step 5: Solve for x
    x = 59,807,260.04/9,875.88
  6. Step 6: Final answer
    x = 6,055.89

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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.