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Finding the Fourth Proportional to 9,807.30, 14,710.95 and 9,710.10

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Solution

The fourth proportional to 9,807.30, 14,710.95 and 9,710.10 is: 14,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.30 : 14,710.95 = 9,710.10 : x
  2. Step 2: Convert to fraction form
    9,807.30/14,710.95 = 9,710.10/x
  3. Step 3: Cross multiply
    9,807.30x = 14,710.95 × 9,710.10
  4. Step 4: Simplify right side
    9,807.30x = 142,844,795.60
  5. Step 5: Solve for x
    x = 142,844,795.60/9,807.30
  6. Step 6: Final answer
    x = 14,565.15

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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.