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Finding the Fourth Proportional to 6,525.20, 9,005.64 and 4,430

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Solution

The fourth proportional to 6,525.20, 9,005.64 and 4,430 is: 6,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.20 : 9,005.64 = 4,430 : x
  2. Step 2: Convert to fraction form
    6,525.20/9,005.64 = 4,430/x
  3. Step 3: Cross multiply
    6,525.20x = 9,005.64 × 4,430
  4. Step 4: Simplify right side
    6,525.20x = 39,894,985.20
  5. Step 5: Solve for x
    x = 39,894,985.20/6,525.20
  6. Step 6: Final answer
    x = 6,113.99

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