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Finding the Fourth Proportional to 35,605.40, 53,403.46 and 9,312.17

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Solution

The fourth proportional to 35,605.40, 53,403.46 and 9,312.17 is: 13,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.40 : 53,403.46 = 9,312.17 : x
  2. Step 2: Convert to fraction form
    35,605.40/53,403.46 = 9,312.17/x
  3. Step 3: Cross multiply
    35,605.40x = 53,403.46 × 9,312.17
  4. Step 4: Simplify right side
    35,605.40x = 497,302,098.11
  5. Step 5: Solve for x
    x = 497,302,098.11/35,605.40
  6. Step 6: Final answer
    x = 13,967.04

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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.