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Finding the Fourth Proportional to 7,038.12, 9,712.84 and 4,053.72

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Solution

The fourth proportional to 7,038.12, 9,712.84 and 4,053.72 is: 5,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.12 : 9,712.84 = 4,053.72 : x
  2. Step 2: Convert to fraction form
    7,038.12/9,712.84 = 4,053.72/x
  3. Step 3: Cross multiply
    7,038.12x = 9,712.84 × 4,053.72
  4. Step 4: Simplify right side
    7,038.12x = 39,373,133.76
  5. Step 5: Solve for x
    x = 39,373,133.76/7,038.12
  6. Step 6: Final answer
    x = 5,594.27

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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.