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Finding the Fourth Proportional to 9,985.04, 14,988.72 and 5,829.92

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Solution

The fourth proportional to 9,985.04, 14,988.72 and 5,829.92 is: 8,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.04 : 14,988.72 = 5,829.92 : x
  2. Step 2: Convert to fraction form
    9,985.04/14,988.72 = 5,829.92/x
  3. Step 3: Cross multiply
    9,985.04x = 14,988.72 × 5,829.92
  4. Step 4: Simplify right side
    9,985.04x = 87,383,038.50
  5. Step 5: Solve for x
    x = 87,383,038.50/9,985.04
  6. Step 6: Final answer
    x = 8,751.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.