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Finding the Fourth Proportional to 9,985.10, 14,970.45 and 6,524.30

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Solution

The fourth proportional to 9,985.10, 14,970.45 and 6,524.30 is: 9,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.10 : 14,970.45 = 6,524.30 : x
  2. Step 2: Convert to fraction form
    9,985.10/14,970.45 = 6,524.30/x
  3. Step 3: Cross multiply
    9,985.10x = 14,970.45 × 6,524.30
  4. Step 4: Simplify right side
    9,985.10x = 97,671,706.94
  5. Step 5: Solve for x
    x = 97,671,706.94/9,985.10
  6. Step 6: Final answer
    x = 9,781.75

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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.