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Finding the Fourth Proportional to 9,774.02, 14,652.14 and 5,088.52

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Solution

The fourth proportional to 9,774.02, 14,652.14 and 5,088.52 is: 7,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.02 : 14,652.14 = 5,088.52 : x
  2. Step 2: Convert to fraction form
    9,774.02/14,652.14 = 5,088.52/x
  3. Step 3: Cross multiply
    9,774.02x = 14,652.14 × 5,088.52
  4. Step 4: Simplify right side
    9,774.02x = 74,557,707.43
  5. Step 5: Solve for x
    x = 74,557,707.43/9,774.02
  6. Step 6: Final answer
    x = 7,628.15

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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.