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Finding the Fourth Proportional to 9,971.10, 14,927.85 and 9,683.10

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Solution

The fourth proportional to 9,971.10, 14,927.85 and 9,683.10 is: 14,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.10 : 14,927.85 = 9,683.10 : x
  2. Step 2: Convert to fraction form
    9,971.10/14,927.85 = 9,683.10/x
  3. Step 3: Cross multiply
    9,971.10x = 14,927.85 × 9,683.10
  4. Step 4: Simplify right side
    9,971.10x = 144,547,864.34
  5. Step 5: Solve for x
    x = 144,547,864.34/9,971.10
  6. Step 6: Final answer
    x = 14,496.68

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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.