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Finding the Fourth Proportional to 10,146.90, 14,001.70 and 6,962.93

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Solution

The fourth proportional to 10,146.90, 14,001.70 and 6,962.93 is: 9,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.90 : 14,001.70 = 6,962.93 : x
  2. Step 2: Convert to fraction form
    10,146.90/14,001.70 = 6,962.93/x
  3. Step 3: Cross multiply
    10,146.90x = 14,001.70 × 6,962.93
  4. Step 4: Simplify right side
    10,146.90x = 97,492,822.17
  5. Step 5: Solve for x
    x = 97,492,822.17/10,146.90
  6. Step 6: Final answer
    x = 9,608.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.