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Finding the Fourth Proportional to 9,695.84, 14,547.43 and 6,605

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Solution

The fourth proportional to 9,695.84, 14,547.43 and 6,605 is: 9,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.84 : 14,547.43 = 6,605 : x
  2. Step 2: Convert to fraction form
    9,695.84/14,547.43 = 6,605/x
  3. Step 3: Cross multiply
    9,695.84x = 14,547.43 × 6,605
  4. Step 4: Simplify right side
    9,695.84x = 96,085,775.15
  5. Step 5: Solve for x
    x = 96,085,775.15/9,695.84
  6. Step 6: Final answer
    x = 9,910.00

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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.