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Finding the Fourth Proportional to 9,875.97, 14,813.96 and 4,328.06

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Solution

The fourth proportional to 9,875.97, 14,813.96 and 4,328.06 is: 6,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.97 : 14,813.96 = 4,328.06 : x
  2. Step 2: Convert to fraction form
    9,875.97/14,813.96 = 4,328.06/x
  3. Step 3: Cross multiply
    9,875.97x = 14,813.96 × 4,328.06
  4. Step 4: Simplify right side
    9,875.97x = 64,115,612.01
  5. Step 5: Solve for x
    x = 64,115,612.01/9,875.97
  6. Step 6: Final answer
    x = 6,492.08

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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.